Free Printable Exponent Rules!

1.

When using the Power to a Power rule, what are you supposed to do with the exponents? ex. $\left(x^9\right)^{12}$

a)

Add the exponents.

b)

Multiply the exponents.

c)

Subtract the exponents.

d)

Make it $12x^9$

2.

Simplify the following: $\left(4x^3\right)^4$

a)

$16x^7$

b)

$4^4x^7$

c)

$256x^{12}$

d)

$16x^{12}$

3.

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.

\frac{\text{}y^6}{\text{}y^3}

a)

Divide

b)

Add

c)

Multiply

d)

Subtract

4.

Simplify the following: $\frac{2v^5}{8v^3}$

a)

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

b)

$4v^2$

c)

$-6v^8$

d)

$6v^8$

5.

Anything raised to the zero power (except zero) is equal to what?

(a)

6.

Select ALL that are correct.

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

a)

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

b)

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

c)

$\frac{1}{2x^4y^3}$

d)

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

7.

Simplify the following: $\left(2v\right)^2\cdot2v^2$

a)

$2v^4$

b)

$8v^3$

c)

$2^2v^4$

d)

$8v^4$

8.

Simplify the following
(no negative exponents):

$\left(x^4\right)^{-3}\cdot2x^4$

a)

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

b)

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

c)

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

d)

$2x^{-12}x^4$

9.

Simplify the following
(no negative exponents):
$4a^3b^2\cdot3a^{-4}b^{-3}$

a)

$7a^{-1}b^{-1}$

b)

$\frac{12}{ab}$

c)

$12ab$

d)

$\frac{12}{a^{12}b^6}$

10.

Simplify the following
(no negative exponents):
$\frac{\left(-14\right)^6}{\left(-14\right)^9}$

a)

$\left(-14\right)^{-3}$

b)

$\frac{1}{\left(-14\right)^{15}}$

c)

$\frac{1}{\left(-14\right)^3}$

d)

$\left(-14\right)^{54}$

11.

Simplify the following
(no negative exponents):
$\frac{-48c^2d^4}{8cd}$

a)

$-40cd^3$

b)

$-40c^3d^5$

c)

$\frac{c^3d^5}{6}$

d)

$-6cd^3$

12.

Simplify the following
$7^4\cdot7^{-4}$

(a)

13.

The rule for negative exponents (the apartment rule) says that if an exponent is negative (unhappy) move it to the other floor (downstairs or upstairs) and make the exponent (a) .

14.

Simplify the following
(no negative exponents):

$\frac{xy^7}{x^3y^4}$

a)

$x^4y^{11}$

b)

$x^3y^{28}$

c)

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

d)

$\frac{x^4}{y^{11}}$

15.

Simplify the following
(no negative exponents):

$\left(-10a^3\right)^0$

a)

$-10a^3$

b)

$1$

c)

$0$

d)

undefined

16.

Simplify the following
(no negative exponents):

$\frac{2x^4y^7}{-10x^3y^9}$

a)

$\frac{-1x}{5y^2}$

b)

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

c)

$-\frac{20x}{y^2}$

d)

$\frac{-20x^7}{y^2}$

Exponent Rules!

Total questions: 16

Worksheet time: 17mins

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