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?

Algebra ->  Square-cubic-other-roots -> 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?      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
I am supposed to use the laws of exponents to simplify:
3%5E%283%2F4%29+%2A3%5E%283%2F8%29
Do I add the exponents...
Yes.
... to come up with 6/12,
No. 3%2F4%2B3%2F8 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!)

3%2F4%2B3%2F8
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:
%283%2F4%29%2A%282%2F2%29%2B3%2F8
6%2F8+%2B+3%2F8
Now we can add:
9%2F8

So 3%5E%283%2F4%29+%2A3%5E%283%2F8%29+=++3%5E%289%2F8%29