Free Printable Properties Exponents

1.

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

2.

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

3.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

4.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

5.

Select the expression that is equivalent (equal) to (7⁶)⁴.

a)

7¹⁰

b)

7²

c)

7²⁴

d)

7²⁷

6.

What is the correct way to expand $5^3\cdot5^2$ ?

a)

$\left(5+5+5\right)\left(5+5\right)$

b)

$\left(5\times3\right)\left(5\times2\right)$

c)

$\left(5\times5\right)\left(3\times2\right)$

d)

$\left(5\cdot5\cdot5\right)\left(5\cdot5\right)$

7.

Select the expression equivalent (equal) to $\frac{6^8}{6^3}$ .

a)

$6^{11}$

b)

$6^5$

c)

$6^{24}$

d)

$6^{-5}$

8.

Which expression is equivalent (equal) to $4^{12}\times7^{12}$ .

a)

$28^{24}$

b)

$21^{12}$

c)

$28^{12}$

d)

$28^{144}$

9.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

10.

Select the expressions that are equivalent (equal) to $\left(m^7\cdot m^3\right)^4$ . (There is more than one answer!)

a)

$m^{40}$

b)

$m^{28}\cdot m^{12}$

c)

$m^{11}\cdot m^7$

d)

$\left(m^{10}\right)^4$

11.

Which expression is equivalent (equal) to $\frac{10^{-3}}{10^9}$ .

a)

$10^{-12}$

b)

$10^{-6}$

c)

$10^6$

d)

$10^{-27}$

12.

Which expression is equivalent (equal) to $\frac{\left(6^{-4}\right)^{-2}}{6^2}$ .

a)

$6^6$

b)

$6^{-10}$

c)

$6^{-8}$

d)

$6^{10}$

13.

Simplify: (x⁸)(x^-5)

a)

x^-40

b)

x^-13

c)

x¹³

d)

x³

14.

Simplify the expression using the properties of exponents.
$\frac{t^{12}u^7}{t^2u}$

a)

$t^{14}u^8$

b)

$t^{24}u^7$

c)

$t^{10}u^7$

d)

$t^{10}u^6$

15.

Use the properties of exponents to write the expression as a single power: (b¹)(b¹¹) =

a)

b¹¹

b)

b¹⁰

c)

b¹²

16.

4³x 4³

a)

4⁶

b)

4⁹

c)

16⁶

d)

16⁹

17.

7⁸ x 7

a)

7⁹

b)

49⁸

c)

7⁸

d)

49⁹

18.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

19.

Simplify: (3x²)³

a)

27x⁶

b)

9x⁶

c)

3x⁶

d)

9x⁵

20.

What is the exponent form for
6?

a)

6⁰

b)

6¹

c)

6×1

d)

0

21.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

Properties Exponents

Total questions: 21

Worksheet time: 2hrs 38mins

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