Laws of Exponents Product and Power

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Simplify:
(3t²)³

• 9t⁶

• 9t⁵

• 27t⁶

• 27t⁵

(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x¹⁰

• 3x⁷

(4x)³

• 7x³

• 64x³

• 12x³

• 16x³

(x³y)⁶

• 2x¹⁸y⁶

• x¹⁸y⁶

• x³y⁶

• x³y⁶

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

• 5⁷

• 5⁶

• 7⁵

• 5

Which number is the BASE?
2³ = 8

• 2

• 3

• 8

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

• x³y⁵

• x¹²y¹²

• x²⁴y¹⁸

• x¹⁰⁸y⁴⁵

Simplify 5³⋅5⁴

• 5⁷

• 5⁻¹

• 5¹²

• 5