IXL - Evaluate rational exponents (Precalculus practice)

or

Simplify.

16

–

1

4

ref_doc_title.

or

Learn with an example

question

Simplify.

64

1

2

key idea

If

a

is a positive real number and

n

is an integer with

n

>

1

:

a

1

n

=

n

a

The same identity is also true if

a

is negative and

n

is odd. However, if

a

is negative and

n

is even then

a

1

n

and

n

a

do not exist.

The symbol

n

0

is called a

radical.

If

n

=

2

,

the radical is a square root and the 2 is not written:

0

.

solution

Write the exponent using a radical and simplify.

64

1

2

=

64

=

8

Looking for more? Try these:

Lesson: Rational exponents

or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

R.1Roots of integers

R.1Powers with integer bases

Lesson: Rational exponents