16. Which is greater, 4^-2 or
2^-4? How do you know?
Those are exponents.

Answers

Answer 1

Answer:

Both are equal to [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]

[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]


Related Questions

What is the Unit price of 20 tickets for $14.00 ?

Answers

Answer: 1 ticket = 70 cents.

Step-by-step explanation:

If you get 20 tickets for 14.00, then we have to divide 14 by 20.

14 ÷ 20 = 0.7, or 70 cents. Because of this, each ticket will cost 70 cents.

Answer is 70 cents

Enjoy

CAN SOMEONE HELP MEEE PLEASEE!!

Answers

Answer:

D.6h+18

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:

I need help please-

Answers

Answer:

144x^22y^16

Step-by-step explanation:

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??

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]

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

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 theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
3 more seats than the previous one. Find the total number of seats in the theater.

Answers

Answer:number of seats in theater = 1035Step-by-step explanation:Given in question asTotal number of rows of seat = 30first row contain seat = 20second row contain seat = 21 .. and so onThis is in arithmetic progression as 20 , 21 , 22 , 23 ...... so onThen as number of terms N = 30 and first terms = a = 20so we have to find Tn th termsSo, Tn th terms = first term + ( N -1 ) × d               d= common difference i.e 1     Tn th terms = 20 + (30 - 1) × 1Thus, Tn th terms = 49i.e The number of seats in 30th row = 49Now again Total number of seats in theatersum of Nth terms = so                         =                            = 15 × 69 = 1035Hence, Total number of seats in theater = 1035      Answer

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.

Find the value of x in the following figure.
(a)
60°
(2x + 40°
R

Answers

60

bc of congruence mark

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

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.

15, α) Να λύσετε την εξίσωση: 12x – 11 = 3

Answers

Answer:

x = 7/6

Step-by-step explanation:

12x - 11 = 3

12x = 3 + 11

12x = 14

12x/12 = 14/12

x = 14/12

x = 7/6

does anyone know how to do number 3

Answers

Answer:

Do it yourself. You find the answer by using the midpoint formula (it is attached to this response). Just substitute the x and y values and do simple algebra.

Can anyone solve this?

Answers

Answer:

1/3

Step-by-step explanation:

3*3*3=27

1/3*1/3*1/3=1/27

2k divided by (3+4)x1 to the 0 power + (5x5) k=7

Answers

3.4910684 × 10-22 m2 kg s-2 K-1

A store sells 6 oranges for $13 . What is the cost for 10 oranges ? This is 100 points pls help ....?

Answers

Lets find the cost of 1 orange first. $13 / 6 = $2.1$.So the cost of 10 oranges would be $2.17 x 10 = $21.70. Hope this helps !

Answer:

Approximately $21.67

Step-by-step explanation:

The cost of one orange:

13 ÷ 6 = 2.16666

The cost of 10 oranges:

2.166666 × 10 = 21.66666 ≈ $21.67

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

Answers

Answer:

aₙ = 3n - 6

Step-by-step explanation:

Given sequence:

−3, 0,3,6,9,...

This is AP with:

The first tern a₁ = - 3Common difference d = 3

The rule for the nth term of the sequence is:

aₙ = a₁ + (n - 1)d

Substitute values:

aₙ = -3 + (n - 1)(3) =       -3 + 3n - 3 =        3n - 6

help i need help please

Answers

Answer:

hope it is correct

Step-by-step explanation:

i think it is more than, can , cannot, and required

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:

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 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!

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 :)

help me I will really appreciate it

Answers

Answer:

The answer is (1,-1)

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- 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:

Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the price of the backpack be?

Answers

Answer:it should be $23.80

Step-by-step explanation:28/100x85=23.80

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]

HELP ME PLEASE RIGHT NOWW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!WILL LOGIN AND GIVE BRAIN fish tank in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide, and 8 inches high.
What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the fish tank with water?
A.540 cubic inches

B.610 cubic inches

C.90 cubic inches

D.690 cubic inches

Answers

Answer:

A. 540 cubic inches

Step-by-step explanation:

so 100% full would be 600cubic inches. ( I get this by finding volume Length times width times height)

Find 90% if 600 and get 540 cubic inches.

to find 90% do 0.9 times 600

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