Laws of Exponents Product and Power

30y¹² / 15y²

• 2y²⁴

• 2¹⁰

• 2y¹⁰

• 2y¹⁴

32x⁶ / 4x²

• 8x⁴

• 8x⁸

• 6x⁴

• 6x⁸

Simplify

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Simplify:
x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

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

• multiply

• add

• subtract

• divide

Simplify:
(x³)(x²)

• x⁵

• x⁶

• x

• x^1.5

Simplify:
(3t²)³

• 9t⁶

• 9t⁵

• 27t⁶

• 27t⁵

(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x¹⁰

• 3x⁷

(4x)³

• 7x³

• 64x³

• 12x³

• 16x³