Free Printable Power of power

1.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

2.

Simplify with one exponent for each base.

$10^4\ •\ 10^6=$

a)

$10^{10}$

b)

$10^{24}$

c)

$10^2$

d)

$100^{10}$

3.

Finish the rule:

When you multiply the same base you _____ the exponents.

a)

divide

b)

multiply

c)

add

d)

subtract

4.

Simplify with one exponent on one base:

$x^{11}\ •\ x^9\ =$

a)

$x^{99}$

b)

$x^{99}$

c)

$x^{21}$

d)

$x^{20}$

5.

Simplify with one exponent for each base:

$y^8\ •\ y^6=$

a)

$y^{48}$

b)

$y^{14}$

c)

$y^{18}$

d)

$y^{48}$

6.

Simplify with one exponent for each base

$10^{2\ }•\ 10^{5\ }•\ 10^8$

a)

$10^{15}$

b)

$1000^{15}$

c)

$10^{56}$

d)

$1000^{56}$

7.

Simplify with one exponent for each base:

$x^2y^6\ •\ x^4y^7=$

a)

$x^6y^{13}$

b)

$2x^62y^{13}$

c)

$x^8y^{42}$

d)

$xy^{19}$

8.

Simplify with one exponent for one base:

$\left(10^2\right)^8$

a)

$10^{16}$

b)

$10^{10}$

c)

$20^8$

d)

$10^6$

9.

Simplify with one exponent on one base

$\left(7^4\right)^2$

a)

$7^8$

b)

$7^6$

c)

$28^2$

d)

$49^6$

10.

Finish the rule:

When you have a base raised to a power raised to a power, you ______ the exponents,

$\left(10^4\right)^2$

a)

multiply

b)

add

c)

count

d)

subtract

11.

Simplify with one exponent on one base

$\left(5^2\right)^6$

a)

$5^8$

b)

$5^{12}$

c)

$60^1$

d)

$10^6$

12.

Simplify with one exponent on each base

$\left(x^4y^3\right)^5$

a)

$x^9y^8$

b)

$5x^4y^3$

c)

$x^{20}y^{15}$

d)

$xy^{35}$

13.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

14.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

15.

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

16.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

17.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

18.

y¹² x y¹⁰

a)

y²

b)

y²²

c)

y²⁰

d)

y¹²⁰

19.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

20.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

21.

a)

x^2.75

b)

x⁴⁴

c)

x¹⁵

d)

x⁷

22.

Simplify

a)

7²

b)

7³

c)

7⁸

d)

7⁶

23.

a)

4³

b)

4¹⁵

c)

1³

d)

1¹⁵

24.

a)

x²

b)

x³

c)

x

d)

x⁵

Power of power

Total questions: 24

Worksheet time: 1hrs 10mins

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