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simplify (3/5y^4)^-2
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When you have a negative exponent you have to flip the problem to make it positive
\[(\frac{3}{5y^4})^{-2}\] \[(\frac{5y^4}{3})^2\] Use the rule \[(\frac{m}{n})^p=\frac{m^p}{n^p}\] solve
6/10y^16?
Nope
10y^16/6?
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Well if you've used the rule, you would get \[(\frac{5y^4}{3})^2 \\ =\frac{5^2(y^4)}{3^2}^2\]
That is not even an answer choice on my test, I asked Simplify!
Yes, what is \[5^2\]
25
Good, what is \[(y^4)^2\]
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y8
What about \[3^2\]?
6
That became \[\frac{25y^8}{9}\]
Thanks.
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