Free Printable Laws of Exponents

1.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

2.

Simplify (-1/2)⁰

a)

1

b)

0

c)

-1

d)

-2

3.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

4.

Negative Exponent Law states: you must change the exponent to a positive by doing what?

a)

just change it to positive

b)

move to the bottom of fraction bar

c)

move it to the opposite side of fraction bar

5.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

6.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

7.

Is the equation linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

8.

Solve the following exponential equation:

7^{-x}=49

a)

$x=1$

b)

$x=-1$

c)

$x=2$

d)

$x=-2$

9.

Solve the following exponential equation:

3^3=3^{4x+2}

a)

$x=\frac{1}{4}$

b)

$x=-\frac{1}{4}$

c)

$x=\frac{1}{2}$

d)

$x=-\frac{1}{2}$

10.

How would you solve an exponential equation like the one below:

36=6^x

a)

Rewrite $36$ as $6^2$

b)

Set the exponents equal to each other

c)

Rewrite $36$ as $6^3$

d)

Multiply the exponents

Laws of Exponents

Total questions: 10

Worksheet time: 43mins

Similar Resources on Wayground