Rational Exponents and Radicals

Front

Write as a radical expression: y²⁄³

Back

∛y²

Front

Evaluate: 81^(3/4)

Back

27

Front

Simplify: 8x^(9/2)

Back

8x^(4)√x

Front

Write in exponential form: ∛x⁷

Back

x^(7/3)

Front

Simplify: 4^(3/3)

Back

64

Front

Define rational exponent.

Back

An exponent that is a fraction, where the numerator is a power and the denominator indicates the root.

Front

What is the relationship between rational exponents and radicals?

Back

Rational exponents can be expressed as roots; for example, x^(1/n) = ∛x.

Front

Convert the radical expression √(x^4) to an exponent.

Back

x^(4/2) or x².

Front

What is the value of 16^(1/4)?

Back

2

Front

Simplify: (x^(1/2))^4

Back

x^2