Math II · N-RN.1

Explain rational exponents as extensions of integer exponent rules and as radical notation.

Explain rational exponents as extensions of integer exponent rules and as radical notation.

Concept Number and Quantity
Domain The Real Number System
Problem Types

Problem Templates In This Objective

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

Template 1

Rewrite an expression with exponent 1/n in radical notation

4 variants
Template 2

Rewrite a rational exponent in radical notation

4 variants
Template 3

Rewrite a radical as a rational exponent by matching the root index to the denominator

4 variants
Template 4

Evaluate a rational exponent by using the denominator as the root index

4 variants
Template 5

Evaluate powers with negative rational exponents by using roots and reciprocals

4 variants
Template 6

Decide whether two rational-exponent expressions are equivalent

4 variants
Template 7

Decide whether a negative number raised to a rational exponent is real

4 variants
Template 8

Interpret a rational exponent's rooted quantity and dimension

4 variants
Template 9

Reduce a rational exponent, then evaluate it exactly

4 variants