Algebra Exponent Rules Review

Simplify. (a³b)⁴

• a¹²b⁴

• a⁷b⁵

• a³b⁴

• ab⁸

• 2b^-4

• 8b⁴

• 2m⁴

• 27m

• 12m⁴⁵

Match the following

• Always 1

• Quotient Rule

• Keep base, multiply exponents

• Zero Rule

• Keep base, subtract exponents

• Product Rule

• Keep base, add exponents

• Negative Exponent Rule

• Move to the opposite side of fraction

• Power to a Power Rule

• 4mnp⁵

• 12m³p³

Simplify

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

Explain the error in the simplification below:
x³yx^-4z^-2=x^-1yz^-2

• Should have multiplied the x exponents.

• Should have subtracted the x exponents.

• Should have moved the negative exponents to the bottom of a fraction.

• There is no error.

Simplify x³(x⁹)

• x³

• x²⁷

• x¹²

• x⁶

Simplify. 5^-2

• -25

• -10

• -1/25

• 1/25