Radicals and Rational Exponents

Front

What is a radical?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square root.

Front

What is a rational exponent?

Back

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

Front

Simplify: √(25)

Back

5

Front

Simplify: 2^(3/2)

Back

√(2^3) = √8 = 2√2

Front

Evaluate: 4^(3/2)

Back

8

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents; for example, √x = x^(1/2).

Front

Simplify: 16^(1/4)

Back

2

Front

What does the expression x^(m/n) represent?

Back

x^(m/n) represents the n-th root of x raised to the m-th power.

Front

Simplify: (√(64))^2

Back

64

Front

Evaluate: 27^(2/3)

Back

9