Free Printable Basic Exponent Rules

1.

THE PRODUCT RULE FOR EXPONENTS YOU....

Hint: Product means to multiply!

a)

subtract

b)

add

c)

multiply

d)

divide

2.

QUOTIENT RULE FOR EXPONENTS YOU....

Hint: Quotient means to divide!

a)

add

b)

divide

c)

multiply

d)

subtract

3.

The power rule for exponents you....

Hint: "When you have a power raised to a power you...."

a)

divide

b)

multiply

c)

subtract

d)

add

4.

$5^3\cdot5^4$

a)

$5^2$

b)

$5^7$

c)

$5^6$

d)

$5^{10}$

5.

$\frac{5^3}{5^2}$

a)

$5$

b)

$5^5$

c)

$5^2$

d)

$5^8$

6.

$\frac{7^3}{7^{10}}$

a)

$7^7$

b)

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

c)

$7^{13}$

d)

$\frac{1}{7^{13}}$

7.

$\left(7^3\right)^4$

a)

$7^{12}$

b)

$7^7$

c)

$7^1$

8.

Simplify: x¹⁰⋅x⁴

a)

x⁴⁰

b)

x¹⁴

c)

x⁶

d)

2x¹⁴

9.

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

a)

x¹⁶

b)

x⁴

c)

x⁵

d)

x⁶

10.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

11.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

12.

Using exponents, simplify the following expression:

(2⁸)²

a)

$2^{16}$

b)

$2^{10}$

c)

$2^6$

d)

$2^4$

13.

Using exponents, simplify the following expression:

\frac{x^5}{x^3}

a)

x²

b)

x

c)

1

d)

x⁸

14.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

15.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

16.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

17.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example:

\frac{h^8}{h^3}

a)

add

b)

subtract

c)

multiply

d)

divide

18.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

19.

$\left(7^3\right)^2$

a)

$7^5$

b)

$21^2$

c)

$7^6$

d)

$7^1$

20.

$78^0$

a)

-78

b)

78

c)

0

d)

1

21.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

22.

Simplify: (2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

23.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

24.

Simplify: 10³ x 10⁵

a)

10¹⁵

b)

10⁸

c)

10²

d)

10⁶

25.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

26.

Simplify the expression.
x³x⁶

a)

x⁹

b)

x³

c)

x¹⁸

d)

x³⁶

27.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

28.

Simplify
(y³)⁵

a)

y¹⁵

b)

y⁸

c)

y⁻²

d)

y

29.

Select all the equivalent expressions to $\left(\frac{1}{3}\right)^4$

a)

$\frac{1^4}{3^4}$

b)

$\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)$

c)

$\frac{1}{81}$

d)

12

30.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

Basic Exponent Rules

Total questions: 30

Worksheet time: 45mins

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