Rational Exponents

Front

Write in exponential form: √x⁵

Back

x⁵/2

Front

Write in exponential form: ∛x⁷

Back

x⁷/3

Front

Rewrite the following as a radical. Simplify if possible: x²/4

Back

√(x²) = x

Front

Write as a radical expression: y²/3

Back

∛y²

Front

Write the following expression in exponential form: 4√x

Back

x^(1/4)

Front

Convert the expression x^(3/2) to radical form.

Back

√(x³)

Front

What is the definition of a rational exponent?

Back

A rational exponent is an exponent that is a fraction, representing both a root and a power.

Front

Convert the expression 5√(x²) to exponential form.

Back

x^(2/5)

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents represent roots; for example, x^(1/n) is the nth root of x.

Front

Write in exponential form: √(x/y)

Back

(x/y)^(1/2)