Free Printable All Exponents Rules Review

1.

Simplify the expression: (5⁵)(5^-3)

a)

5^-15

b)

5^-8

c)

5⁸

d)

5²

2.

Simplify the expression: $z^{-3}\cdot\ z^6\ \cdot\ z^{-3}$

a)

1

b)

$z^{54}$

c)

$z^6$

d)

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

3.

Re-write using positive exponents: $\ \frac{1}{2^{-4}}$

a)

$-2^4$

b)

$2^4$

c)

$\frac{1}{2^4}$

d)

$4^2$

4.

Simplify the following expression: $\frac{x^{-1}}{x^{-8}}$

a)

$x^{-7}$

b)

$x^{-9}$

c)

$\frac{1}{x^7}$

d)

$x^7$

5.

Simplify the expression: $\frac{24x^6}{12x^8}$

a)

$2x^2$

b)

$\frac{x^2}{2}$

c)

$\frac{2}{x^2}$

d)

$\frac{1}{2x^2}$

6.

Simplify the expression: $\left(\frac{35x^2y^4z}{5xy^6}\right)^0$

a)

0

b)

1

c)

$\frac{7xz}{y^2}$

7.

Simplify $\left(2x^4y^7\right)^3$

a)

$8x^{12}y^{21}$

b)

$2x^7y^{10}$

c)

$2x^{12}y^{21}$

d)

$8x^7y^{10}$

8.

When using the Power to a Power rule, what operation do you do with the exponents? Example: $\left(x^9\right)^2$

a)

Add the exponents

b)

Subtract the exponents

c)

Multiply the exponents

d)

Divide the exponents

9.

Anything raised to the zero power equals

a)

0

b)

1

c)

-1

10.

Simplify this expression: $\left(2x^4y^{-3}\right)^{-1}$

a)

$2^{-1}x^{-4}y^{-3}$

b)

$\frac{y^3}{2x^4}$

c)

$\frac{2y^3}{x^4}$

11.

Solve: $-5^2$

a)

$\frac{1}{25}$

b)

$25$

c)

$-25$

d)

$-\frac{1}{25}$

12.

Simplify: $\left(3a^2b^4\right)^2$

a)

$3a^4b^8$

b)

$9a^4b^6$

c)

$3a^4b^6$

d)

$9a^4b^8$

All Exponents Rules Review

Total questions: 12

Worksheet time: 17mins

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