Properties of Exponents

1.)  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

 Solve

• p⁴
• p^-4
• 1/p^-4
• 1/p⁴

3.) Simplify
(45x⁶y²)/(5x⁴y⁹)

• (9x²)/y⁷
• 40x²y⁷
• 9x²y⁷
• 9x¹⁰y¹¹

2.) Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰
• 81x¹²y²⁰
• 12x¹²y²⁰
• 81x⁷y⁹

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Make this negative exponent positive.
9^-3

• 9³
• 1/9^-3
• 1/9³
• 729

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

Zero Exponent Rule states that your answer is always 1.

• No answer is 0
• never
• always
• sometimes

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

• multiply
• add
• subtract
• divide