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Roots Expressed as Exponents Help

By — McGraw-Hill Professional
Updated on Sep 27, 2011

Properties of Roots Expressed as Exponents

Roots can be written as exponents by using the following two properties. This ability is useful in algebra and calculus.

Property 1

Roots Expressed as Exponents

The exponent is a fraction whose numerator is 1 and whose denominator is the root.

Examples

Roots Expressed as Exponents Examples

Property 2

Roots Expressed as Exponents Examples (If n is even, a must be nonnegative.)

The exponent is a fraction whose numerator is the power and whose denominator is the root.

Examples

Roots Expressed as Exponents Examples

Find practice problems and solutions at Roots Expressed as Exponents Practice Problems - Set 1.

Simplifying Multiple Roots

One of the uses of these exponent-root properties is to simplify multiple roots. Using the properties Roots Expressed as Exponents Solutions , gradually rewrite the multiple roots as an exponent then as a single root.

Examples

Roots Expressed as Exponents Examples

Find practice problems and solutions at Roots Expressed as Exponents Practice Problems - Set 2.

More practice problems for this concept can be found at: Exponents and Roots Practice Test.

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