IXL - Multiplication with rational exponents (Algebra 1 practice)

Simplify.

ref_doc_title.

Learn with an example

question

Simplify.

key idea

is a positive real number and

is an integer with

The same identity is also true if

is negative and

is odd. However, if

is negative and

is even then

and

do not exist.

The symbol

is called a

radical.

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

For non-zero real numbers

and

and a rational number

(

)

solution

The exponents are the same, so apply the property

(

)

to simplify the product.

(

)

Now, write the exponent using a radical and simplify further.

Looking for more? Try these:

Lesson: Rational exponents

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Teacher tools

Work it out

Not feeling ready yet? These can help:

S.2Evaluate integers raised to rational exponents

R.4Multiplication rule for exponents

R.3Negative exponents

G.1Add and subtract fractions

Lesson: Rational exponents

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