Math(Please help)
posted by Hannah on .
Simplify each expression. Assume all variables are positive.
1) 3 sqrt2  8 sqrt128
I think you subtract the 3 from the 8 but I do not know what else to do.
2) Simplify expression. Answer should have only positive exponents.
(8x^3 y^1/2)^2/15
Do I multiply the exponents?

( I don't know if I'm 100% correct, could someone recheck if neeeded too? Thanks)
1. 3sqrt28sqrt128 [ First you multiply 3 x 2, which will give you 6sqrt. Then you would multiply 8 and 128, which will give you 1024. The final step would be to combine like terms, the like term in the expression is 6 s q r t and  1024 s q r t. Combining these together would give you 1018sqrt]. 
(1) 3sqrt2  8sqrt 128
*note that 128 has factors 2 and 64 (and 64 is a perfect square), therefore:
3sqrt2  8sqrt(2*64) [sqrt of 64 is 8]
3sqrt2  8*8sqrt2
61sqrt2
(2) distribute or multiply the exponents of each term inside the parenthesis to 2/15:
8^(2/15) x^3(2/15) y^(1/2)(2/15)
8^(2/15) x^(2/5) y^(1/15)
*since negative exponent, we can put it in the denominator to have positive exponent
[8^(2/15) x^(2/5)]/[y^(1/15)]
*so there,, if you still want to simplify (factor out 1/15 from the exponents):
(8^2 x^6 / y)^(1/15) or
15th root of (64x^6)/y 
21b32+7b2ob