Laws of Exponents

Laws of Exponents Review

​

What is an exponent?

A simplified notation for repeated multiplication of the same number, term, or variable.

Multiple Choice

How do you use exponents to represent numbers?

• repeated multiplication

• repeated addition

• repeated subtraction

• repeated division

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

• 7⁵

• 7⁶

• 6⁷

• 7⁷

When multiplying, ADD the exponents and keep the same base.

Multiple Choice

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

• Multiply

• Add

• Divide

• Subtract

Multiple Choice

Simplify to an equivalent expression BUT leave in exponent form.

4³⋅4⁵

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

Multiple Choice

Simplify:

b² ⋅ b⁴

• b⁸

• b⁶

• b²

• 2b⁶

The opposite operation of Multiplication is Division

The opposite operation of Addition is Subtraction

-

When Multiplying Exponents with the same Base you Add the exponents.

When Dividing Exponents with the same Base you Subtract the exponents.

Multiple Choice

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

• Multiply

• Add

• Divide

• Subtract

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Multiple Choice

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

When you have an exponent raise to an exponent, MULTIPLY the exponents.

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

Simplify:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

Anything with a power/exponent of zero equals 1!

Multiple Choice

Simplify (-1/2)⁰

• 1

• 0

• -1

• -2