Exponent Power and Product Rules

Simplify the following expression:

5a³b⁵ ⋅ 3a²b²

• 8a⁵b³

• 15a⁵b⁷

• 8a⁵b⁷

• 15a⁵b³

Simplify the following expression:

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

• add

• subtract

• multiply

• divide

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify the following expression:

(3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

(2x⁴y⁵)(-3x²y⁷)

• 6x⁶y¹²

• -1x⁶y^-2

• -6x²y²

• -6x⁶y¹²

xy⁰

• xy

• x

• 1

• 0

3⁵ ⋅ 3⁷

• 3³⁵

• 3¹²

• 3^-2

• 3²

Simplify using the product rule: x³y²x³=

• x⁶y²

• xy⁸

• x³y⁵