Simplifying 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

Simplify: (8)^(1/3)

Back

2

Front

Simplify: (27)^(2/3)

Back

9

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

Simplify: (16)^(3/4)

Back

8

Front

Convert the expression 5^(1/2) to radical form.

Back

√5

Front

Convert the expression 9^(3/2) to radical form.

Back

(√9)^3 = 3^3 = 27

Front

What is the value of (64)^(2/3)?

Back

16

Front

If a^(m/n) = b, what is the equivalent radical form?

Back

b = n√(a^m).

Front

Simplify: (125)^(1/3)

Back

5