Laws of Exponents

Laws of Exponents Review

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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

When dividing, SUBTRACT the exponent in the denominator (bottom) and keep the base.

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

Multiple Choice

Simplify -(3)⁰

• 1

• 0

• -1

• -3

Multiple Choice

Simplify (0)⁰

• 1

• 0

• undefined

• -1