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 power and a root.

Front

Simplify: √64

Back

8

Front

Simplify: 2^(1/2)

Back

√2 or approximately 1.41

Front

Simplify: 5^(3/2)

Back

125

Front

What is the relationship between radicals and rational exponents?

Back

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

Front

Simplify: 4^(3/2)

Back

8

Front

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

Back

It represents the n-th root of a raised to the m-th power.

Front

Simplify: 16^(1/4)

Back

2

Front

Simplify: 27^(2/3)

Back

9