Common Core · High school

HSN-RN.A.1

High school — Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.

The skill that covers it

Rational Exponents & Radical EquationsRead a fractional exponent as a root, move between radical and exponent form, simplify with the exponent rules, and solve equations with a variable under a root, checking for solutions the squaring step invents.Read the lesson →

What a student should be able to do

Evaluate an expression with a rational exponent such as $8 2/3$ , and take an nth root.
Convert between radical form and rational-exponent form, and simplify using the exponent rules.
Solve a radical equation by isolating the root and raising both sides to a power.
Check every candidate in the original equation and reject extraneous solutions; state the domain of a radical function.

Every Common Core code covered by Math Vale