Rational Exponents and Radicals

Front

Write as a radical expression: y¹⁄³

Back

∛y

Front

Write as a radical expression: y²⁄³

Back

∛y²

Front

Calculate: 4⁵/₂

Back

32

Front

Simplify: 8x⁹

Back

8x⁴√x

Front

Calculate: 2⁶

Back

64

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, a^(m/n) = n√(a^m).

Front

Convert the expression: 9^(1/2)

Back

√9 = 3

Front

Convert the expression: 16^(3/4)

Back

(√16)³ = 4³ = 64

Front

What is the value of 27^(2/3)?

Back

(∛27)² = 3² = 9