Exponent Rules and Rational Exponents

^simplify 5x³ ⋅2x²

• 10x⁵

• 3x

• 10x⁶

• 7x⁵

The amount of bacteria in an infection after taking medication is (1/x³)ⁿ ; where n stands for the number of hours.

Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.

• (1/x³)⁴

• (1/x³)^-4

• (1/x⁷)

• 1/x¹²

 Write in exponential form
 ∛x⁷

• x⁷∕ ³
• x3⁄7
• 3x⁷
• 7x³

Write as a radical expression
y²⁄ ³

• 2y³
• √y³
• ∛y²
• 3y²