SOLUTION: We are suppose to answer this question and it is really confusing me and i'm not sure how to answer it correctly. Using the laws of exponents again, explain why it makes sense t

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Question 67131: We are suppose to answer this question and it is really confusing me and i'm not sure how to answer it correctly.
Using the laws of exponents again, explain why it makes sense to use
fractional exponents to represent the roots of a value.
Such as
9(1/2) = 3
Please help!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Using the laws of exponents again, explain why it makes sense to use
fractional exponents to represent the roots of a value.
Such as
9^(1/2) = 3
Using fractional exponents it is easier to figure out
problems like [sqrt3 *(cube root 3)]
Rewriting with fractionals you get;
3^(1/2)*3^(1/3)= 3^(5/6)
That was easy but how would you handle original statement of
the problem?
Fractional exponents simplify multiplying, dividing, raising
to powers and finding roots because the laws of exponents apply.
Cheers,
Stan H.

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