Free Printable Using Exponent Rules

1.

Simplify so there are no negative exponents in the answer.

3a^2\cdot2a^4\cdot3a

a)

$18a^7$

b)

$18a^6$

c)

$18a^8$

d)

$8a^7$

2.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

3.

Simplify so there are no negative exponents in the answer.

\frac{2k^{-2}}{k^{-1}}

a)

$\frac{2}{k}$

b)

$\frac{2}{k^3}$

c)

$2$

d)

$2k$

4.

Simplify so there are no negative exponents in the answer.

\left(x^4\right)^2x^{-3}

a)

$x^5$

b)

$\frac{1}{x^{18}}$

c)

$-x^5$

d)

$\frac{1}{x^{15}}$

5.

Simplify so there are no negative exponents in the answer.

\frac{3x^3\cdot4x^4}{x^2}

a)

$12x^5$

b)

$12x^9$

c)

$7x^5$

d)

$7x^4$

6.

Simplify so there are no negative exponents in the answer.

\left(\frac{r}{r^{-2}}\right)^{-2}

a)

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

b)

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

c)

$4r^4$

d)

$r^6$

7.

Simplify so there are no negative exponents in the answer.

\left(2^4\right)^{-3}2^4

a)

$\frac{1}{2^8}$

b)

$2^5$

c)

$\frac{1}{4^8}$

d)

$4^{16}$

8.

Simplify so there are no negative exponents in the answer.

$2x^2y^{-1}\cdot3x^2y^3$

a)

$6x^4y^2$

b)

$5x^4y^2$

c)

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

d)

$\frac{5x^4}{y^3}$

9.

Simplify so there are no negative exponents in the answer.

$\frac{3x^0y^{-3}\cdot2x^4y^2}{2x^4}$

a)

$\frac{3}{y}$

b)

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

c)

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

d)

$\frac{3x}{y}$

10.

$\frac{\left(2m^3n^2\right)^02m^3n^{-3}}{n^3}$

Simplify so there are no negative exponents in the answer.

a)

$\frac{2m^3}{n^{6^{ }}}$

b)

$2m^3$

c)

$4m^6n^2$

d)

$2m^6n^2$

Using Exponent Rules

Total questions: 10

Worksheet time: 6mins

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