4. Radical Functions & Rational Exponents

4.01 Review: Laws of exponents

4.02 Fractional powers

4.03 Simplifying radical expressions

4.04 Operations with radical expressions

4.05 Graphs and characteristics of square root functions

4.06 Graphs and characteristics of cube root functions

4.07 Solving radical equations

United States of America PA

High School Core Standards - Algebra II Assessment Anchors

4.02 Fractional powers

Interactive practice questions

Express $\sqrt{x}$√x in exponential form.

Easy

< 1min

Express $\sqrt[6]{x}$⁶√x in exponential form.

Easy

< 1min

Express $\sqrt[5]{x^7}$⁵√x7 in exponential form.

Easy

< 1min

Express $\frac{1}{\sqrt{x}}$1√x with a negative fractional exponent.

Easy

< 1min

Outcomes

CC.2.1.HS.F.1

Apply and extend the properties of exponents to solve problems with rational exponents

A2.1.2.1.3

Simplify/evaluate expressions involving multiplying with exponents (e.g., x^6 • x^7 = x^13), powers of powers (e.g., (x^6)^7 = x^42), and powers of products (e.g., (2x^2)^3 = 8x^6). Note: Limit to rational exponents.

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