Combining Laws of Exponents

Evaluate the expression using the quotient rule.

• 3⁴

• 1/3⁴

• 3^-12

• 3³²

y⁻¹¹⋅y⁵

• y^-6

• y⁶

• -y⁶

• -1⁄y⁶

When you are dividing two terms with the same base, what do you do with the exponents?

• multiply

• add

• subtract

• divide

Zero Exponent Law states that anything to the power of 0

• equals 0

• equals the base

• has a new exponent that you multiply

• equals one

Simplify:
(x³)(x²)

• x⁵

• x⁶

• x

• x^1.5

• -6c⁵
• -6c
• 6c
• -6c⁶

(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x¹⁰

• 3x⁷

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

When multiplying powers, you keep the base and...

• add the exponents.

• subtract the exponents.

• multiply the exponents. 

• write the base as a fraction with a numerator of one. 

Hint: Power within a power and multiplying means you do what with the exponents?

Answer explanation

3 x 2 = 6

6 + 3 = 9