Exponent Properties

Exponent Properties

Remember, an exponent is used to represent repeated multiplication. Take a look at the example shown!

Exponents Basics

Multiple Choice

Which number is the BASE?

2³ = 8

• 2

• 3

• 8

Multiple Choice

When written in expanded form $$6^4$$ would be equal to which expression?

• $$6+6+6+6$$

• $$6\cdot6\cdot6\cdot6$$

• $$24$$

• $$1$$

Multiple Choice

When written in exponential form 8 x 8 x 8 x 8 x 8 is equivalent to...

• 8⁵

• 8⁸

• 8 x 8 x 8 x 8 x 8

• 8

Multiple Choice

Which is the correct expression for:

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

• $$5^4\cdot5^2$$

• $$5^5\cdot5^2$$

• $$5^4+5^2$$

• 30

Take a moment to review the various exponent rules shown in the image before answering the following questions.​

Exponent Rules

Multiple Choice

When multiplying powers of the same base, such as $$x^2\cdot x^3$$ , you will _____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

When dividing powers of the same base, such as $$\frac{y^2}{y^4}$$ , you will _____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Simplify:

$$5^{-2}$$

• $$\frac{1}{5^2}$$

• $$5^2$$

• $$\frac{1}{5^{-2}}$$

• $$25$$

Multiple Choice

Simplify:

$$7^0$$

• 1

• 7

• 0

• 15

Multiple Choice

Simplify:

$$\frac{m^{12}}{m^3}$$

• m⁹

• m⁴

• m^-9

• -m⁹

Multiple Choice

Simplify:

$$3^0\times3^3$$  

• 1

• $$3^3$$  

• $$3^4$$  

• 3

Multiple Choice

Simplify:

(5²)³

• 5⁶

• 5⁵

• 5⁷

• 5⁸

Multiple Choice

Simplify:

$$3^4\times3^{-3}$$  

• $$3^{-7}$$  

• $$3^{12}$$  

• $$3^7$$  

• $$3^1$$  

Multiple Choice

Which expression is equivalent to $$\frac{1}{16}$$  ?

• $$4^{-2}$$  

• $$4^2$$  

• $$16^{-2}$$