Radical expressions and rational exponents

Simplify radicals, rationalize denominators, and convert between root and exponent notation.

Standards:N-RN.A.1N-RN.A.2

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Simplify: (81x⁴)^3/4

Question 2 of 3

Simplify: (81)^3/4

Question 3 of 3

Simplify: (8x³)^2/3

How this fits in

Radical expressions and rational exponents is one skill in the Advanced Algebra unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

Polynomial operations and long division
The remainder and factor theorems
Rational expressions
Rational equations
Radical equations
Exponential growth and decay
Logarithms and logarithmic equations
Complex numbers
Function composition and inverses

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