# ACT Math : Exponential Operations

## Example Questions

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### Example Question #12 : How To Divide Exponents

If , what is ?

Explanation:

Using the properties of exponents, we can raise both sides to a reciprocal of the exponent of to find the value we need. Specifically...

### Example Question #13 : How To Divide Exponents

Simplify:

Explanation:

When exponents with the same base are being divided, you may substract the exponent in the denominator from the exponent in the numerator to create a new exponent. In this case, you would subtract  from , yielding  as the new exponent. Keeping the same base, the answer becomes .

### Example Question #14 : How To Divide Exponents

What is the simplified form for the following expression?

Explanation:

Break up by variable.

Therefore the simplified form becomes,

.

### Example Question #15 : How To Divide Exponents

can be written as which of the following?

A.

B.

C.

C only

A and C

B only

A, B and C

B and C

A, B and C

Explanation:

C is computing the exponent, while A and B are equivalent due to properties of fractional exponents.

Remember that...