Powers and Bases

Simplify (-3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• -9x⁸y¹⁰

y¹²  x  y¹⁰

• y²

• y²²

• y²⁰

• y¹²⁰

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add

• subtract

• multiply

• divide

Simplify:
(7y⁴)²

• 7y⁶

• 14y⁸

• 14y⁶

• 49y⁸

Simplify:
(x³)²

• x⁵

• x

• x⁶

• 3x²

Rewrite with a positive exponent: 6^-2

• 6²

• -6²

• -1/6²

• 1/6²

What is the base and exponent of this power: 4^-6

• Base: 4, Exponent: 6

• Base: 6, Exponent: -4

• Base: 4, Exponent: -6

• Base: -6, Exponent: 4

The Product of Powers Rule states when multiplying powers with ____ base then ___ the exponents.

• Same : Add

• Same : Subtract

• Different : Factor

• Same : Multiply

The Quotient of Powers Rule states if dividing powers with ___ bases then ___ exponents.

• Same : Add

• Same : Subtract

• Different : Factor

• Same : Multiply

The Power of Powers Rule states if a power is raised to another power then ___________ exponents.

• Add

• Subtract

• Multiply

• Factor