6.1.4 Rational Exponents Practice

Front

Write the expression in exponential form: ∛x²

Back

x²/3

Front

Write the expression in radical form: x⁷/2

Back

√x⁷

Front

Write the expression in radical form: x¹.5

Back

√x³

Front

Simplify the expression: 3¹/2 * 27¹/2

Back

9

Front

Define rational exponent.

Back

An exponent that is a fraction, where the numerator is a power and the denominator indicates the root.

Front

What is the relationship between rational exponents and radicals?

Back

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

Front

Convert the expression x^(1/4) to radical form.

Back

∜x

Front

What is the value of 8^(1/3)?

Back

2

Front

If a = 16^(1/4), what is the value of a?

Back

2

Front

Express 27^(2/3) in radical form.

Back

(∛27)² = 3² = 9