Exponent Rules Practice

​Exponent Rules

By Siobhan Keefe

Multiple Choice

What is the BASE in the power below? 4³

• 4
• 3
• 4³
• 64

Multiple Choice

How do you write 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 with an exponent?

• 5⁷
• 5⁶
• 7⁵
• 5

Multiple Choice

Write the expression using an exponent.

$$9\cdot9\cdot9\cdot9$$  

• $$9^4$$  

• $$4^9$$  

• $$94$$  

• $$49$$  

Multiple Choice

$$10^3=$$  

• $$10\times10\times10$$  

• $$10\times3$$  

• $$10+10+10$$  

• 10,000

Multiple Choice

Which number is the BASE?

$$2^7=128$$

• 2

• 7

• 128

• $$2^7$$  

Multiple Choice

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

Multiple Choice

The Ones Rules

A. A number raised to one is always that number.

B. One ________to any number i always one.

• number

• subtracted

• raised

• adding

Multiple Choice

Which expression is equivalent to $$2^8\cdot2^{10}$$  ?

• $$2^{18}$$  

• $$4^{18}$$  

• $$2^{80}$$  

• $$4^{80}$$  

Multiple Choice

Simplify the following expression:

r⁶ ⋅ r² ⋅ r³

• r⁶²³

• r¹¹

• 11r

• r³⁶

Multiple Choice

Product Rule

When multiplying exponents with the same base, _______ the exponents.

• subtract

• add

• multiply

• divide

Multiple Choice

Challenge! Let's try this.

First, expand the whole expression, then simplify.

3x⁴ ⋅ 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

True or False: 

• True 
• False

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Quotient Rule

When dividing exponents with teh same base, ________the exponents

• subtract

• divide

• add

• multiply

Multiple Choice

$$365^0=$$  

• 0

• 1

• 365

• $$\frac{1}{365}$$  

Multiple Choice

Which is greater,  2654⁰ or 5⁰?

• 2654⁰
• 5⁰
• They are the same
• Zero is greater

Multiple Choice

Simplify: 7p⁰

• 7

• 1

• simplified

• 7p

Multiple Choice

Recall the quotient rule... what would we do to find the solution of $$\frac{a^5}{a^5}$$ ?

• add 5 + 5

• subtract 5 - 5

• multiply 5 * 5

• divide 5 / 5

Multiple Choice

If you simplify the expression $$\frac{a^5}{a^5}$$ by subtracting 5 - 5, what would the new expression be?

• $$a^0$$

• $$a^1$$

• $$a^{25}$$

• $$a^{10}$$

Multiple Choice

Zero Rule

Any number raised to the zero power is always__________.

• zero

• one

• exponent

• raised

Multiple Choice

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Multiple Choice

Simplify the following expression:

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

Multiple Choice

Power to a Power Rule

When raising a power to a power, keep the base and ________ the exponents

• postive

• subtract

• multiply

• divide

Multiple Choice

$$4^{-2}$$  

• $$4^2$$

• $$4^4$$

• $$\frac{1}{4^2}$$

• $$\frac{1}{4^4}$$  

Multiple Choice

$$4^{-2}$$  

• 16

• -16

• 8

• $$\frac{1}{16}$$  

Multiple Choice

$$\frac{1}{3^5}$$  is the same as

• $$3^{-5}$$  

• $$3^5$$  

• 15

• $$\frac{3}{5}$$  

Multiple Choice

10 raised to negative third power is

• 1000

• 30

• 0.001

• 1/3

Multiple Choice

Negative Exponent Rule

When you have a negative exponent, take the reciprocal of the base and exponent. Always get rid of the ____________exponents in an expression.

• zero

• negative

• positive

• ugly