Free Printable Exponent Rules Practice

1.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

2.

$x^{-5}$ =

a)

$\frac{1}{x^{-5}}$

b)

$\frac{1}{x^5}$

c)

$\frac{x^5}{1}$

d)

$\frac{x^{-5}}{1}$

3.

$m^2\cdot m^6\cdot m=$

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

4.

$\frac{a^5b^{10}}{a^3b^6}=$

a)

$a^8b^{16}$

b)

$a^2b^4$

c)

$a^{15}b^{60}$

d)

$a^2b^{16}$

5.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

6.

$\left(ab^2\right)^8$ =

a)

$ab^{16}$

b)

$a^8b^{16}$

c)

$a^9b^{10}$

d)

$ab^{10}$

7.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

8.

Simplify: $\left(-x^3\right)\left(-5x\right)$

a)

$5x^4$

b)

$-5x^4$

c)

$5x^3$

d)

$-5x^3$

9.

Simplify: $\frac{-15x^9}{10x^{17}}$

a)

$\frac{5}{x^8}$

b)

$\frac{-3x^8}{2}$

c)

$\frac{-3x^{-8}}{2}$

d)

$\frac{-3}{2x^8}$

10.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

11.

Simplify

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

a)

$xy^7$

b)

$x^3$

c)

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

d)

$\frac{x^8}{y^9}$

12.

$10^{-5}$

Write using a positive exponent:

a)

$50$

b)

$10^5$

c)

$\frac{1}{10^5}$

d)

$10^9$

13.

Simplify:

9x^6y^2\cdot5x^2y^3

a)

$14x^8y^5$

b)

$14x^{12}y^6$

c)

$45x^8y^5$

d)

$45x^{12}y^6$

14.

Simplify:

\frac{x^{-7}}{x^{12}}

a)

$\frac{1}{x^5}$

b)

$x^5$

c)

$x^{19}$

d)

$\frac{1}{x^{19}}$

15.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

Exponent Rules Practice

Total questions: 15

Worksheet time: 13mins

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