SOLUTION: I am supposed to use the laws of exponents to simplify: 3^3/4 *3^3/8 Do I add the exponents to come up with 6/12, then simplify that to 1/2, so the answer is 3^1/2?

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Question 227034: I am supposed to use the laws of exponents to simplify:
3^3/4 *3^3/8
Do I add the exponents to come up with 6/12, then simplify that to 1/2, so the answer is 3^1/2?

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
I am supposed to use the laws of exponents to simplify:

Do I add the exponents...
Yes.
... to come up with 6/12,
No. does not add up to 6/12. When you add fractions:
  1. the denominators must be the same before you add
  2. you only add the numerators (not the denominators!)


The Lowest Common Denominator (LCD) here is 8. So we make the first fraction's denominator an 8 by multiplying it (and its numerator) by 2:


Now we can add:


So

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