Exponent Rules

When multiplying powers of the same base, such as (x²)(x), you will _____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

When dividing powers of the same base, such as x³/x⁵, you will _____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Simplify the expression shown. Your answer should contain only positive exponents.

• -24x⁴y⁶

• 12x⁴y⁵

• -24x⁴y²⁴

• -3x⁴y²

Simplify the expression shown. Your answer should contain only positive exponents.

• 3x²y⁴

• -3xy⁴

• 1/3x³y⁴

• x²y⁴/3

Simplify the expression shown. Your answer should contain only positive exponents.

• 16m⁴n²

• 4m²n²

• 4mn

• 4n²/m4

Simplify the expression shown. Your answer should contain only positive exponents.

• -a¹²b¹²

• -a⁷b⁷

• a⁷b⁷

• a¹²b¹²

Simplify

(2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

(6x²)(-3x⁵)

• 18x⁷
• -18x⁷
• 18x⁷
• 3x⁷

1.)  Simplify
 (2a²b⁴z)(6a³b²z⁵)

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