Algebra Laws of Exponents

Evaluate the expression using the quotient rule.

• 3⁴

• 1/3⁴

• 3^-12

• 3³²

y⁻¹¹⋅y⁵

• 1⁄y⁶

• y⁶

• -y⁶

• -1⁄y⁶

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Simplify:
x⁵ ÷ x²

• x⁷

• x³

• x¹⁰

• x^2.5

Simplify:
2a⁷ ÷ 2a³

• ⁴

• 1/⁴

• 2a⁴

• ^7/3

Simplify:
(3t²)³

• 9t⁶

• 9t⁵

• 27t⁶

• 27t⁵

Simplify (-5.7)⁰

• 1

• 0

• -1

• -5.7

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

• Multiply

• Add

• Divide

• Subtract

Simplify the following expression: 
xy^-7

• 1/(xy⁷)

• x/y⁷

• x⁷/y

• x⁷y