Multiplying Properties of Exponents

(2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

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

• Add

• Subtract

• Multiply

• Divide

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

• 4x⁶

• y⁴

• 32x⁵y⁴

• -4x⁷y³

Simplify

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Simplify

(2a²b⁴z)(6a³b²z⁵)

Hint** Multiply the numerical bases. You can only combine bases that are alike. Add the exponents for the "a" base, "b" base, and "z" base.

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Simplify

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

2x⁵y⁵(3x⁷y⁶)

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

• Add

• Subtract

• Multiply

• Divide