Question

Simplified form of..

Answer 1

\[\left(\begin{matrix}\frac{ x^2y ^{-3} }{ (xy ^{4})^{-1} } \\ \end{matrix}\right)^{5}\]

Answer 2

woah, these are getting bigger! Let's start by simplifying inside the bracket for now. What do you htink \((xy^4)^{-1}\) becomes?

Try to apply this rule \[(x^a)^b = x^{ab}\]

Answer 3

does the -1 go to both the x and y?

Answer 4

Yep, so \((xy^4)^{-1}= x^{-1}y^{4-1} = x^{-1}y^{3}\) If that makes sense we can move on to the inside of the big bracket.
Now we have\[\frac{x^2 y^{-3}}{x^{-1}y^3}\] which we can simplify out. What would that go to?

Answer 5

just give me a minute, i have to do something really quickly

Answer 6

Ok, well I'm going to bed now, but the final answer is \[x^{15}y^{-30}\]

Answer 7

ok thanks so much