Mathematics, 09.06.2021 05:20 mcalepcrager
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Which expression is equivalent to (1/√y)^-1/5?
A: 5√y^2
B: 1/√y^5
C: 10√y
D: 1/10√y​
Answers: 3
![=\sqrt[10]{y}](/tpl/images/2397/4043/b58b7.png)
![=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}](/tpl/images/2397/4043/1d13f.png)
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