(-2/3)^-4 x (-3/5)^2 = ..................

Question

\((\frac{-2}{3})^{-4}\) x \((\frac{-3}{5})^{2}\) = ................

(-2/3)^-4 x (-3/5)² = ..................

A) \(\frac{250}{9}\)

B) \(\frac{9}{250}\)

C) \(\frac{350}{9}\)

D) \(\frac{1}{90}\)

Answer 1

Correct option is (A) \(\frac{16}{225}\)

\((\frac{-3}{2})^{-4}\times(\frac{-3}{5})^2\) \(=\left[(\frac{-3}{2})^{-1}\right]^4\times(\frac{-3}{5})^2\)

\(=(\frac{-2}{3})^{4}\times(\frac{-3}{5})^2\)

\(=\frac{(-2)^4}{3^4}\times\frac{(-3)^2}{5^2}\)

\(=\frac{16}{81}\times\frac9{25}\)

\(=\frac{16}{9\times25}=\frac{16}{225}\)

Answer 2

Correct option is   A) \(\frac{250}{9}\)