Algebra Exponent Rules

• -30x¹¹
• -30x¹⁸
• -x¹¹
• -x¹⁸

• -15x²yz⁴
• 1

Simplify:     (2x⁴y⁵)(-3x²y⁷)

• 6x⁶y¹²

• -1x⁶y^-2

• -6x²y²

• -6x⁶y¹²

• 25⁶⁰
• 25¹⁷
• 5⁶⁰
• 5¹⁷

Match the following

• Keep base, multiply exponents

• Negative Exponent Rule

• Keep base, add exponents

• Power to a Power Rule

• Move to the opposite side of fraction

• Quotient Rule

• Always 1

• Product Rule

• Keep base, subtract exponents

• Zero Rule

Select the exponent that makes the equation true.

• 3

• 5

• 10

• 15

• 1

• 3^-5 = 1/3⁵
• 3⁵
• 3⁴²
• 1/9

• 4^-2
• 1/4²
• 1/16
• all of the above

Simplify the following expression: (3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

Simplify the following expression:

(7a²)(5a⁶b)²

• 35a¹⁴b²

• 175a¹²b²

• 175a¹⁴b²

• 35a¹⁴b