anonymous 5 years ago find the value of a: 5rt5 * 5^3/ 5^(-3/2) = 5^(a+2)

1. anonymous

$5\sqrt{5}*5^3/3^{-3/2} = 5 ^ {a+2}$ $a + 2 = 3/2+3/2 + 3 = 6$$a =4$

2. anonymous

can u explain it in steps please

3. anonymous

sorry dainel u had written wrong question but the answer is correct'

4. anonymous

I don't think I wrote the wrong question... did I?

5. anonymous

6. anonymous

there should be / 5^(-3/2)

7. anonymous

If a and b are positive integers such that ab = 125, then (a-b)^(a+b-4) is equal to ?