Rational Exponents and Radicals

Front

Write as a radical expression: y²⁄³

Back

∛y²

Front

Simplify: 2³

Back

8

Front

Calculate: 8⁵⁄³

Back

32

Front

Write in exponential form: ∛x⁷

Back

x⁷/³

Front

Calculate: 64⁴⁄³

Back

256

Front

Define rational exponent.

Back

An exponent that can be expressed as a fraction, where the numerator is a power and the denominator is a root.

Front

What is the relationship between rational exponents and radicals?

Back

Rational exponents represent roots; for example, x^(1/n) is equivalent to ∛x.

Front

Convert the radical expression √(x²) to exponential form.

Back

x²^(1/2) or x.

Front

Simplify: (x²)³

Back

x⁶.

Front

What is the value of 27^(1/3)?

Back

3.