Properties of Exponents Introduction

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

What is the capital of France?

• Paris

• London

• Berlin

• Madrid

Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

Make this negative exponent positive.
9^-3

• 9³

• 1/9^-3

• 1/9³

• 729

Zero Exponent Rule states that your answer is always 1.

• No answer is 0

• never

• always

• sometimes

Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

(v⁷/w⁶)⁵

• v³⁵/w³⁰

• v²/w

• v¹²/w¹¹

• w¹¹/v¹²

Division Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Simplify. Your answer should contain only positive exponents.

3⁴ ⋅ 3⁷

• 3²⁸

• 3³

• 3^-3

• 3¹¹