8^9•8^7

rewrite the following expression using each base only once

Answers

Answer 1

Answer:

[tex] 8^{16} [/tex]

Step-by-step explanation:

[tex] 8^9 \cdot 8^7 [/tex]

Use the rule

[tex] a^m \times a^n = a^{m + n} [/tex]

[tex] 8^9 \times 8^7 = 8^{9 + 7} = 8^{16} [/tex]


Related Questions

What is 1/3x1/3x1/3 in exponents

Answers

Answer:

i came up with to awnsers depending on what you need

Step-by-step explanation:

if it is positive exponents then

1

3

(

x

(

1

3

)

)

(

x

(

1

3

)

)

if negative

1

27

x

1

x

1

The simplified expression 1/3 * 1/3 * 1/3 as exponents is 1/3³

How to simplify the expression as exponents

From the question, we have the following parameters that can be used in our computation:

1/3 * 1/3 * 1/3

Express as equation

Result = 1/3 * 1/3 * 1/3

Apply the law of indices

So, we have the following representation

1/3 * 1/3 * 1/3 = 1/3¹⁺¹⁺¹

Evaluate the sum

1/3 * 1/3 * 1/3 = 1/3³

Using the above as a guide, we have the following:

The expression cannot be further simplified

Hence, the simplified expression is 1/3³

Read more about expressions at

brainly.com/question/30492964

#SPJ6

need help math please

Answers

Answer:

80

Step-by-step explanation:

Rounding to the nearest tenth, we get:

100, 80, 40, 90, 80, 100, 90, 90, 80, 80, 80

Number no. of times

100 2 80 5 40 1 90 3

80 occurs 5 times (most of the times) so, 80 will be the mean.

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain

Answers

Can you give more details??

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5

Answers

it’s 100 degrees since it’s parallel to line n

Answer:

Angle 8 is 100 degrees.

Step-by-step explanation:

Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.

How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution

Answers

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

PLEASE HELP ME WITH THIS IM SO STUCK

Answers

a. multiply both sides with 11

[tex]\\ b=66[/tex]

if we multiply both sides by 11 it cancels out leaving us with the variable on one side of the equation making the answer b=66

A is 11
B is 66
Hope that helps

find the factors of (2y+1/3)^2- (3y+1/2)^2 pls reply fast!!!

Answers

Try using Photomath!

Answer:
a^2-b^2=(a+b)(a-b) where a =2y+1/3 and b=3y+1/2

-5(-1)^2(y+1/6)^2

I hope this helps :)

Solve:
Q1) 22
- 2 – 20 < 0

Answers

Answer:0<0

Step-by-step explanation: hope i helped

Answer:

22−2−20<0

0≮0

False

Step-by-step explanation:

How do you do 20/4 divided by 8/9 and put it in simplest form?

Answers

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the movie left to watch. How much of the movie did Charlie watch at night?

Answers

Answer: 4/15 of the movie

Step-by-step explanation:

In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.

At the end of the day, he still had ²/₅ of the movie to watch.

The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.

¹/₃ + ²/₅ + x = 1

x = 1 - ¹/₃ - ²/₅

[tex]x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}[/tex]

The price of an item yesterday was $140. Today, the price fell to $119. Find the percentage decrease.

Answers

Answer:

-15%

Step-by-step explanation:

Answer

15%-

Explanation

any smart people wanna help me

Answers

Answer:

B. 3x + 60

Step-by-step explanation:

Please- I will give BRAINLIEST:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

A rotation doesn't change side length so I think it would be = to AB so 7

Step-by-step explanation:

Rotate the given figure about the origin using the given angle.

Answers

Answer:

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Step-by-step explanation:

when we rotate 90 degrees clockwise, we have that;

(x,y) becomes (-y,x)

Let us get the coordinates before rotation

P (2,5)

J( 3,0)

M ( 2,-1)

Y (0,4)

After the rotation, we have;

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Answer:

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Step-by-step explanation:

Please help me:) this is due by tonight!

Answers

Answer:

[tex]Solution,\\Here,\\Slope~of~line~y=\frac{2}{3}x+19, m_1=\frac{2}{3} \\Let~slope~of~line~passing~through~(6,2)~and~parallel~to~ y=\frac{2}{3}x+19~be~m_2.\\Using~condition~of~parallel~lines,\\m_1 = m_2\\or, m_2 = \frac{2}{3} \\Now,\\The~eq^n~of~a~line~passing~through~(6,2)~and~having~slope~\frac{2}{3}~is~given~by:\\y-2=\frac{2}{3} (x-6)\\or, 3y-6 = 2x-12\\or, 2x-3y = 12-6\\or, 2x-3y=6~is~the~required~equation[/tex]

PLEASE HELP!

Verify that f and g are inverses functions using composition , show your steps

Answers

Answer: We can conclude that f(x) and g(x) are not inverses.

Step-by-step explanation:

If we have two functions:

f(x) and g(x)

These functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

In this case, we have:

f(x) = 12*x - 12

g(x) = (1/12)*x - 1

Now we need to check the compositions:

f( g(x) ) = 12*g(x) - 12 = 12*( (1/12)*x - 1) - 12 = (x - 12) - 12 = x - 24

and:

g( f(x)) = (1/12)*f(x) - 1 = (1/12)*(12*x - 12) - 1 = 12*x/12 - 12/12 - 1 = x - 1 - 1 = x - 2

In both cases, we can see that:

f( g(x) ) ≠ x

and:

g( f(x) ) ≠ x

Then we can conclude that f(x) and g(x) are not inverses functions.

Mr. Sloan leaves his house at 8:30. It takes 50 minutes to get to Boston airport. There were a 45 minute delay. It will take 5 hour and 10 minutes for the trip to Salt lake. What time will Mr. Sloan arrive in Salt Lake

Answers

Answer:

15:15

Step-by-step explanation:

The time he would get to salt lake is the sum of all the times

8: 30 + 45 min + 50 min + 5:10

to find the time, add only the minutes : 30 + 45 + 50 + 10 = 135 minutes

Remember 60 mins = 1 hour

so 135 mins = 2 hours 15 minutes

Now add the hours

8 + 5 = 13 hours

13 hours + 2 hours 15 minutes = 15:15

And electrician needs 2 rolls of electrical wire to wire each room in a house how many rooms can he wire with 3/4 of a roll of wire

Answers

Answer:

3/8 room

Step-by-step explanation:

Given data

We are told that 2 rolls of wire are needed to wire 1 room

Hence if 1 room needs 2 rolls

               x rooms will need 3/4 rolls

cross multiply we have

2x= 3/4

Multiply  both sides by 1/2

x= 3/4*1/2

x= 3/8 room

Here, thankyou!!!!!!!

Answers

Answer:

Perimeter of i - 22CM

Area of i - 13CM^2

Perimeter of ii -38CM

Area of ii -66CM^2

Perimeter of iii -30CM

Area of iii- 42CM^2

Perimeter of iv - 50CM

Area of iv- 126CM^2

Step-by-step explanation:

SHAPE I:

PERIMETER = S + S + S + S + S +S

= 7 + 1 + 5 +3 +4 +2

= 22CM

AREA = Part a - 4 * 2 = 8cm^2 part B - 5 *1 = 5cm^2

Total = 8 + 5 = 13cm^2

SHAPE II:

PERIMETER = S + S + S + S + S +S

= 4 + 4 +5 + 6 + 9 + 10

= 38 CM

AREA = Part a - 5 * 10 = 50 cm^2 part B - 4 *4 =16 cm^2

Total = 50+16 =66 cm^2

SHAPE III:

PERIMETER = S + S + S + S + S +S

= 9 + 2 + 3 + 4 + 6 + 6

= 30CM

AREA = Part a - 6 * 6 = 42cm^2 part B - 3 * 2= 6cm^2

Total = 36 + 6 =42 cm^2

SHAPE IV:

PERIMETER = S + S + S + S + S +S

= 9 + 10 + 4 + 6 + 6 + 15

= 50 CM

AREA = Part a -15 * 6 = 90 cm^2 part B - 9 *4 = 36cm^2

Total = 90 + 36 = 126cm^2

HOPE THIS HELPED

If f(x) = 2x² – 2, what is the value of f(2)?
A 6

10
C 14
D 62

Answers

Answer:

c

Step-by-step explanation:

Cory went to Kohl's and bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for d dollars each. He spent a total of $135.97. Write an equation to find the cost of one pair of shoes.

Answers

Answer:

[tex]25+3d=135.97[/tex]

Step-by-step explanation:

Number of pairs of socks = 10

Cost of each pair of socks = $2.50

Cost of 10 pairs of socks = 10 × 2.50 = $25

Number of pairs of shoes = 3

Cost of each pair of shoes = $d

Cost of d pair of shoes = $3d

Therefore,

[tex]25+3d=135.97[/tex]

So,

Equation is [tex]25+3d=135.97[/tex]

four rulers and three pencils cost £2.15
three rulers and four pencils cost £2.05
work out the cost of a ruler and the cost of a pencil

Answers

Answer:

4r + 3p = 2.15

3r + 4p = 2.05

I have no idea.......

A math textbook has a mass that is 400 grams greater
than a science textbook. If the science textbook has a
mass of 2 kilograms, what is the mass of the math
textbook, in kilograms?

Answers

Answer:

0.8

Step-by-step explanation:

because 400g = 0.4kg

and 0.4kg x 2 = 0.8

hope this helped :)

Which is equivalent to the square root

Answers

Step-by-step explanation:

[tex] { \sqrt[3]{8} }^{ \frac{1}{4}x } = {2}^{ \frac{1}{4} x} = {8}^{ \frac{1}{3} \times \frac{1}{4}x } \\ = {8}^{ \frac{1}{12} x} \\ = { \sqrt[12]{8} }^{x} [/tex]

Which of these graphs represents a function?

Answers

Answer:

I believe it would be graph Z :)

Step-by-step explanation:

Answer:

it’s graph x

Step-by-step explanation:

vertical line test, put a vertical line through the graph, if it touches more than 1 point(2 or more) it’s not a functions

I need help please-

Answers

Answer:

144x^22y^16

Step-by-step explanation:

What is the area of a rectangle that is 1/2 feet long and 2/3 feet wide?

Hint: Put the fraction into simplest form!

Question 1 options:

3/5


1/3


2/6

Answers

Answer:

1/3

Step-by-step explanation:

( 1/2) (2/3) = 2/6 = 1/3

Answer:

1/3

Step-by-step explanation:

I'm good at math, Sorta TnT

Sophie is planting a circular garden with a 7-foot radius. What is the circumference of Sophia's garden? Use 22/7 for /pi. Enter the correct answer in the box.
[tex]\pi[/tex]

Answers

Answer:

154 sq ft

Step-by-step explanation:

Area = pi * r^2 with radius r

A = pi * r^2 = 22/7 * 7^2 = 22 * 7 = 154 sq ft

PLEASE HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

C. x = 12

Step-by-step explanation:

The equation simplifies to [tex]\frac{5}{6} x + 4 = x + 2[/tex]. This can further simplify to [tex]-\frac{1}{6}x = -2[/tex]. Divide both sides by [tex]-\frac{1}{6}[/tex] to get [tex]x = 12[/tex].

Hope it helps!

what's the area of this parallelogram?

Answers

Answer:

Letter B. sir

Step-by-step explanation:

pls give me a brainly

Answer:

A.16.5 if that’s incorrect try b.33

Step-by-step explanation:

The formula is: A = B * H where B is the base, H is the height, and * means multiply.

it may be wrong I’m not sure but  30 * 11 is 330 divded by 2 is 16.5

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