PrerequisitesPrerequisite

Evaluating rational powers

Find the root first, then apply the numerator’s power.

  • Use the denominator of the exponent to choose the root.
  • Raise that result to the numerator’s power.
  • For a negative exponent, take the reciprocal.

Example 1

Root, then power

Simplify the expression.

Example 2

Include a reciprocal

Fully simplify the expression.

Your turn

5 practice questions
Question 1

Evaluate exactly.

Check answer
Question 2

Evaluate exactly.

Check answer
Question 3

Evaluate exactly.

Check answer
Question 4

Evaluate exactly.

Check answer
Question 5

Evaluate exactly.

Check answer
← All Prerequisites cardsReport a mistake