# Algebra II : Fractional Exponents

## Example Questions

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### Example Question #3 : Exponents

Evaluate the expression.

Explanation:

Remember that fraction exponents are the same as radicals.

A shortcut would be to express the terms as exponents and look for opportunities to cancel.

Either method, we then need to multiply to two terms.

### Example Question #4 : Exponents

Convert the exponent to radical notation.

Explanation:

Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.

Simplify:

Explanation:

### Example Question #2 : Fractional Exponents

Write the product of  in radical form

Explanation:

This problem relies on the key knowledge that  and that the multiplying terms with exponents requires adding the exponents. Therefore, we can rewrite the expression thusly:

### Example Question #3 : Fractional Exponents

Evaluate the following expression:

Explanation:

or

### Example Question #4 : Fractional Exponents

Simplify:

Explanation:

Keep in mind that when you are dividing exponents with the same base, you will want to subtract the exponent found in the denominator from the exponent found in the numerator.

To find the exponent for , subtract the denominator's exponent from the numerator's exponent.

To find the exponent for , subtract the denominator's exponent from the numerator's exponent.

Since the exponent is negative, you will want to put the  in the denominator in order to make it positive.

So then,

### Example Question #5 : Fractional Exponents

Find the value of .

Explanation:

When you have a number or value with a fractional exponent,

or

So then,

### Example Question #6 : Fractional Exponents

Find the value of

Explanation:

When you have a number or value with a fractional exponent,

or

So then,

### Example Question #7 : Fractional Exponents

Simplify:

Explanation:

When exponents are raised to another exponent, you will need to multiply the exponents together.

When you have a number or value with a fractional exponent,

or

So,

Simplify: