Rational Exponents

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(1/n) is the nth root of x.

Front

Convert 64^(1/3) to radical form.

Back

The radical form is ∛64.

Front

What is the value of 64^(1/3)?

Back

4

Front

Convert 81^(2/4) to radical form.

Back

The radical form is √(81^2).

Front

What is the value of 81^(2/4)?

Back

9

Front

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

Back

x^2

Front

What is the product of x^(1/3) and x^(2/3)?

Back

x^(1/3 + 2/3) = x^1 = x.

Front

Simplify: 27^(2/3).

Back

9

Front

Convert 16^(3/4) to radical form.

Back

The radical form is 4√(16^3).

Front

What is the value of 16^(3/4)?

Back

64