Exponents Product, Power Rule

Simplify.

(-7x³y²)²

• 49x⁶y⁴

• -14x⁶y⁴

• -14x⁵y⁴

• -49x⁶y⁴

Simplify.

(3ab²)² (2a³b)³

• 72a¹¹b⁷

• 36a¹¹b⁷

• 72a⁸b⁷

• 54a¹¹b⁷

Simplify.

-3(b³)²(-2b⁴)²

• -12b¹⁴

• 12b¹⁴

• 6b¹⁴

• -12b¹¹

Simplify.

-(2xy)(4x²y⁵)²

• -32x⁵y¹¹

• 32x⁵y¹¹

• -32x⁵y⁸

• -16x⁵y¹¹

When you are multiplying monomials using the Product Rule, ​​ ​ must be the same and ​ exponents.

• bases

• add

• numbers

• variables

• letters

• coefficents

• exponents

When you are multiplying monomials using the Product Rule, ​​ ​ must be the same and ​ exponents.

• bases

• add

• numbers

• variables

• letters

• coefficents

• exponents

The Product of Powers Rule states if multiplying the same bases then _________ the exponents.

• Add

• Subtract

• Multiply

• Factor

Simplify.

(-8m²n³) (2mn⁶)

• -16m³n⁹

• -16m²n¹⁸

• 16m³n¹⁸

• -10m³n⁹