Simplify each expression. Assume that all variables are positive.
1) $$(16x^5y ^{10}/81xy^2)^{3/4}$$
2) $$(-64)^{-2/3}$$
3) $$a ^{2/3}\times a ^{1/2}$$
I really have no idea how to do them. Explain and show steps please!

Question

Simplify each expression. Assume that all variables are positive.
1) $$(16x^5y ^{10}/81xy^2)^{3/4}$$
2) $$(-64)^{-2/3}$$
3) $$a ^{2/3}\times a ^{1/2}$$
I really have no idea how to do them. Explain and show steps please!

anonymous · Answer

common base multiplying: add exponents
common base dividing: subtract exponents
(x^a)^b=x^(ab)

anonymous · Answer

@mattt9 can you do one and explain steps?

anonymous · Answer

okay i'll do the first one. it seems the most difficult

16/81 can stay the same for now. x^5/x simplifies to x^4/1. y^10/y^3 simplifies to y^7/1
so now our expression looks like

(16(x^4)(y^7)/81)^(3/4) 
now i dont have a calculator to do the rest but use that last rule i showed you to solve the rest.

anonymous · Answer

o_o huh?
@ishaan94 can you help? :(

anonymous · Answer

let see if we can do the first another way....
(16*x^5*y^10)/(81*x*y^2)
this is what's inside the parenthesis ( ... )^(3/4)
try simplifying this first then we'll take care of the ^(3/4)

anonymous · Answer

and how would you simplify that?

anonymous · Answer

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