Rational Exponents and Radicals

Front

Write in exponential form: ∛x⁷

Back

x⁷/³

Front

Simplify: 8x^(2/3)

Back

8x³

Front

What is 8^(5/3)?

Back

32

Front

Simplify: 2^(3)

Back

8

Front

Simplify: 4^(3)

Back

64

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 √[n]{x}.

Front

Convert the radical expression √x to exponential form.

Back

x^(1/2)

Front

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

Back

x^(2)

Front

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

Back

3