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 x^(1/2) to radical form.

Back

√x

Front

What is the relationship between rational exponents and roots?

Back

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

Front

Simplify the expression: (x^(1/3))^3.

Back

x.

Front

What is the value of 8^(2/3)?

Back

16.

Front

Convert the expression x^(3/4) to radical form.

Back

∛(√(x^3)).

Front

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

Back

3.

Front

Simplify: (x^(2/3) * x^(1/3)).

Back

x.

Front

What is the value of 64^(3/6)?

Back

16.

Front

Convert the expression x^(5/2) to radical form.

Back

√(x^5).