Free Printable Power of a Product/Quotient Practice

1.

$\left(4\times7\right)^8=?$

a)

$4\times7^8$

b)

$4^4\times7^4$

c)

$4^{15}$

d)

$4^8\times7^8$

2.

$\left(4\times m\right)^2=?$

a)

$4^2\times m$

b)

$4^2\times m^2$

c)

$8m$

d)

$4m^2$

3.

$\left(4^3\times2^5\right)^2=?$

a)

$4^8\times2^8$

b)

$4^5\times2^{10}$

c)

$4^6\times2^{10}$

d)

$4^{16}\times2^{16}$

4.

$\left(3^4\times6^5\right)^2=?$

a)

$3^4\times6^7$

b)

$3^6\times6^7$

c)

$3^8\times6^{10}$

d)

$3^4\times6^{10}$

5.

Select the three expressions that are equivalent to 9⁴.

a)

$9\times4$

b)

$9\times9\times9\times9$

c)

$\frac{9^8}{9^2}$

d)

$\left(9^2\times9^2\right)^1$

e)

$\left(\frac{9^{10}}{9^8}\right)^2$

6.

$\left(\frac{2^3}{4^2}\right)^5=?$

a)

$\frac{2^8}{4^7}$

b)

$\frac{2^5}{4^4}$

c)

$\frac{2^6}{4^6}$

d)

$\frac{2^{15}}{4^{10}}$

7.

$\left(6^4\times2\right)^3=?$

a)

$6^{12}\times2^3$

b)

$6^{64}\times6$

c)

$6^{64}\times2^3$

d)

$6^{12}\times6$

8.

$\left(\frac{z^2}{5^4}\right)^4$

a)

$\frac{z^6}{5^4}$

b)

$\frac{z^8}{5^4}$

c)

$\frac{z^8}{5^{16}}$

d)

$\frac{z^6}{5^8}$

9.

$\left(4\times7\right)^8=?$

a)

$4\times7^8$

b)

$4^8\times7^8$

c)

$4^{15}$

d)

$4^4\times7^4$

10.

$\left(\frac{6}{5}\right)^9=?$

a)

$\frac{6^9}{5}$

b)

$\frac{6^9}{5^9}$

c)

$6^4$

d)

$\left(6-5\right)^9$

11.

According to the zero property, anything raised to the zero power is equal to (a) .

12.

$7^9\times7^3=?$

4 lines

13.

$\frac{10^{10}}{10^4}=?$

a)

$10^6$

b)

$10^{14}$

c)

$10^{40}$

d)

$1^{14}$

14.

$3^{-6}=?$

a)

$3^6$

b)

$\frac{1}{3^{-6}}$

c)

$\frac{1}{3^6}$

d)

$9$

15.

$\left(2x^4\right)^0=?$

a)

0

b)

$2x^4$

c)

1

d)

$2^0$

Power of a Product/Quotient Practice

Total questions: 15

Worksheet time: 15mins

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