Powers of a Fraction: Number of terms

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

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

Insert the corresponding expression:

$\left(\frac{10\times3}{7\times9}\right)^{-4}=$

$\frac{7^4\times9^4}{10^4\times3^4}$

Insert the corresponding expression:

$\left(\frac{3}{5\times8\times7}\right)^{-2}=$

$\frac{3^{-2}}{5^{-2}\times8^{-2}\times7^{-2}}$

Insert the corresponding expression:

$\left(\frac{5}{6\times9\times11}\right)^{-3}=$

$\frac{5^{-3}}{6^{-3}\times9^{-3}\times11^{-3}}$

Insert the corresponding expression:

$\left(\frac{5\times8\times6}{21\times23\times19}\right)^{-2}=$

$\frac{\left(5\times8\times6\right)^{-2}}{\left(21\times23\times19\right)^{-2}}$

Insert the corresponding expression:

$$$\left(\frac{6\times8}{2\times7}\right)^{-5}=$

$\left(\frac{2\times7}{6\times8}\right)^5$

Insert the corresponding expression:

$\left(\frac{11\times5\times4}{9\times13\times17}\right)^8=$

$\frac{11^8\times5^8\times4^8}{9^8\times13^8\times17^8}$

Insert the corresponding expression:

$\left(\frac{11\times9}{4}\right)^{-5}=$

A+B are correct

Insert the corresponding expression:

$\left(\frac{1}{2\times3\times4}\right)^{-2}=$

$\frac{1^{-2}}{2^{-2}\times3^{-2}\times4^{-2}}$

Insert the corresponding expression:

$\left(\frac{1}{4\times6\times9}\right)^{-4}=$

$\frac{1^{-4}}{4^{-4}\times6^{-4}\times9^{-4}}$

Insert the corresponding expression:

$\left(\frac{1}{5\times6\times7}\right)^{-3}=$

$\frac{1^{-3}}{5^{-3}\times6^{-3}\times7^{-3}}$

Insert the corresponding expression:

$\left(\frac{3\times5\times7}{2\times4\times6}\right)^{-2}=$

$\frac{3^{-2}\times5^{-2}\times7^{-2}}{2^{-2}\times4^{-2}\times6^{-2}}$

Insert the corresponding expression:

$\left(\frac{3\times5\times7}{4\times8\times10}\right)^5=$

a'+b' are correct

Insert the corresponding expression:

$\left(\frac{3\times6}{5}\right)^{-4}=$

$\frac{5^4}{\left(3\times6\right)^4}$

Insert the corresponding expression:

$\left(\frac{3\times7}{4\times6}\right)^{-6}=$

$\frac{\left(4\times6\right)^6}{\left(3\times7\right)^6}$

Insert the corresponding expression:

$\left(\frac{3\times7}{5\times8}\right)^{-3}=$

$\frac{\left(5\times8\right)^3}{\left(3\times7\right)^3}$

Insert the corresponding expression:

$\left(\frac{4}{9\times7}\right)^{-3}=$

$\frac{9^3\times7^3}{4^3}$

Insert the corresponding expression:

$\left(\frac{4\times5}{3\times2}\right)^{-2}=$

$\left(\frac{3\times2}{4\times5}\right)^2$

Insert the corresponding expression:

$\left(\frac{4\times7\times8}{5\times9\times11}\right)^{-3}=$

A'+C' are correct

Insert the corresponding expression:

$\left(\frac{4\times8}{5\times17\times3}\right)^{-4}=$

$\frac{\left(4\times8\right)^{-4}}{\left(5\times17\times3\right)^{-4}}$