SOLUTION: This problem is throwing me off because of the negative exponent. If you are able to answer please show your work so I will understand how you arrived at the answer for my other ho

Question 374383: This problem is throwing me off because of the negative exponent. If you are able to answer please show your work so I will understand how you arrived at the answer for my other homework problems. Thanks so much!!!
3^5/8
______
3^-1/8
(note: this is a fraction with 3^5/8 being the numerator and 3^-1/8 being the denominator)

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

The rules for exponents are the same all exponents. The fact that there are fractional and/or negative exponents do not change the rules! This is a division involving the same base, 3. The rule here is to subtract the exponents (the numerator's exponent minus the denominator's exponent). Applying this rule to your expression we get:

Fortunately the two fractions have the same denominator so we can go ahead and add them:

The fraction will reduce:

This may be an acceptable answer. But we can rewrite this using the fact that :

Since this becomes:

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