Math II · N-RN.2

Rewrite expressions with radicals and rational exponents using exponent properties.

Rewrite expressions with radicals and rational exponents using exponent properties.

Concept Number and Quantity
Domain The Real Number System
Problem Types

Problem Templates In This Objective

11 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Simplify a product of like bases by adding rational exponents

4 variants
Template 2

Simplify a quotient with rational exponents by subtracting exponents

4 variants
Template 3

Simplify a power raised to a power when the exponents are rational numbers

4 variants
Template 4

Rewrite a product of radicals with the same base by adding rational exponents

4 variants
Template 5

Rewrite a rational exponent in radical form

4 variants
Template 6

Simplify a radical by factoring out a perfect square or perfect cube

4 variants
Template 7

Simplify radicals with variable exponents by pulling out perfect powers

4 variants
Template 8

Rationalize the denominator when the denominator has a single square root factor

4 variants
Template 9

Decide whether a radical expression and a rational-exponent expression are equivalent

4 variants
Template 10

Solve equations of the form xm/ⁿ = k in real numbers

4 variants
Template 11

Choose a form by an explicit direct-operation criterion

4 variants