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.

Front

Convert the expression 16^(1/2) to radical form.

Back

√16 = 4

Front

What is the value of 64^(3/2)?

Back

64^(3/2) = (√64)^3 = 8^3 = 512

Front

Simplify the expression (x^(1/2))^4.

Back

(x^(1/2))^4 = x^(1/2 * 4) = x^2.

Front

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

Back

27^(1/3) = 3.

Front

Rewrite the expression 81^(2/4) in simplest form.

Back

81^(2/4) = 81^(1/2) = √81 = 9.

Front

What is the value of (-2)^(3)?

Back

(-2)^(3) = -8.

Front

Convert the expression 1/(x^(1/2)) to exponential form.

Back

x^(-1/2).

Front

What is the simplified form of (x^(3/4))^2?

Back

(x^(3/4))^2 = x^(3/2).

Front

If a^(m/n) = b, what is the value of a?

Back

a = b^(n/m).