Free Printable Exponent Rules Practice

1.

Simplify

$x^4x^5$

a)

$2x^9$

b)

$2x^{20}$

c)

$x^9$

d)

$x^{20}$

2.

Simplify

$5x^4\cdot3x$

a)

$15x^5$

b)

$15x^4$

c)

$8x^5$

d)

$8x^4$

3.

Simplify

$x^4\cdot x^2\cdot x$

a)

$x^6$

b)

$x^8$

c)

$x^7$

d)

$3x^6$

4.

Simplify

$\left(x^3\right)^5$

a)

$x^8$

b)

$x^{15}$

c)

$5x^3$

d)

$3x^5$

5.

Simplify

$\left(x^9\right)^4$

a)

$x^{36}$

b)

$x^{13}$

c)

$9x^4$

d)

$4x^9$

6.

Simplify

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

a)

$x^4$

b)

$x^3$

c)

$1^4$

d)

$1^3$

7.

Simplify

$\frac{x^{12}}{x^2}$

a)

$x^{10}$

b)

$x^6$

c)

$1^{10}$

d)

$1^6$

8.

Simplify

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

a)

$3x^4$

b)

$3x^3$

c)

$3^4$

d)

$3^3$

9.

Simplify

$\left(x^2y^5\right)^6$

a)

$xy^{42}$

b)

$xy^{13}$

c)

$x^8y^{11}$

d)

$x^{12}y^{30}$

10.

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

11.

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

(a)

12.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

13.

x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

14.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

15.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

16.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

17.

True or False:

a)

True

b)

False

18.

Simplify using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

19.

Which expression with a fractional exponent best represents √7 ?

a)

7^½

b)

7¼

c)

7⅓

d)

2⁷

20.

Write as a radical expression
y¹⁄ ³

a)

∛y

b)

y³

c)

√y

d)

1∕ 3y

21.

Simplify x^-3

a)

-3x

b)

x³

c)

1/ x^-3

d)

1/ x³

22.

Complete The Power of Negative Exponents: $a^{-n}=$

a)

$a^{m+n}$

b)

$1$

c)

$a^{mn}$

d)

$\frac{1}{a^n}$

23.

Complete The nth Roots Rule: $a^{\frac{1}{n}}=$

a)

$\sqrt[]{a}$

b)

$a^{2n}$

c)

$a^n$

d)

$\sqrt[n]{a}$

24.

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

a)

f¹⁶

b)

f⁴

c)

1/f⁴

d)

1/f¹⁶

25.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

Exponent Rules Practice

Total questions: 25

Worksheet time: 2hrs 5mins

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