Powers of a Fraction: Applying the formula

$(\frac{2}{6})^3=$

$\frac{1}{27}$

$(\frac{4^2}{7^4})^2=$

$\frac{4^4}{7^8}$

What is the result of the following power?

$(\frac{2}{3})^3$

$\frac{8}{27}$

Insert the corresponding expression:

$\left(\frac{1}{2}\right)^2=$

$\frac{1}{4}$

Insert the corresponding expression:

$\left(\frac{2}{3}\right)^2=$

$\frac{4}{9}$

Insert the corresponding expression:

$\left(\frac{3}{2}\right)^3=$

$\frac{27}{8}$

Insert the corresponding expression:

$\left(\frac{4}{5}\right)^2=$

$\frac{16}{25}$

Insert the corresponding expression:

$\left(\frac{4}{5}\right)^3=$

$\frac{64}{125}$

Insert the corresponding expression:

$\left(\frac{4}{7}\right)^2=$

$\frac{16}{49}$

Insert the corresponding expression:

$\left(\frac{6}{8}\right)^2=$

$\frac{36}{64}$

Insert the corresponding expression:

$\left(\frac{2\times a}{3}\right)^2=$

All answers are correct

Insert the corresponding expression:

$\left(\frac{6}{x\times y}\right)^2=$

$\frac{36}{\left(x\times y\right)^2}$

Insert the corresponding expression:

$\left(\frac{a\times3}{2\times x}\right)^3=$

$\frac{a^3\times27}{8\times x^3}$

Insert the corresponding expression:

$\left(\frac{a\times b}{2\times x}\right)^3=$

$\frac{a^3\times b^3}{8\times x^3}$

$(\frac{13}{2})^0\cdot(\frac{2}{13})^{-2}\cdot(\frac{13}{2})^{-5}=\text{?}$

$(\frac{2}{13})^3$

$300^{-4}\cdot(\frac{1}{300})^{-4}=?$

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