Rational Exponents: Switching Forms

Front

Write the expression in exponential form: √23

Back

23^1/2

Front

Write the expression in exponential form: ∛x^2

Back

x^2/3

Front

Which of the following is correct? Root over Power, Power over Root

Back

Power over Root

Front

Write the expression in radical form: x^1.5

Back

√x^3

Front

Write the expression in radical form: y^1/2

Back

√y

Front

Define rational exponent.

Back

An exponent that is a fraction, representing both a root and a power.

Front

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

Back

∛(16^3) = ∛(4096) = 16.

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents represent roots; the denominator indicates the root, and the numerator indicates the power.

Front

Write the expression in exponential form: √(x^5)

Back

x^(5/2)

Front

Convert the expression x^(1/3) to radical form.

Back

∛x