Question

Answer 1

a) \(\left[\left(\dfrac{-3}{4}\right)^3\right]^2\)

\(=\left(\dfrac{-3}{4}\right)^{3\cdot2}\)

\(=\left(\dfrac{-3}{4}\right)^6\)

\(=\dfrac{729}{4096}\)

__________

\(\left[\left(\dfrac{-2}{3}\right)^4\right]^2\)

\(=\left(\dfrac{-2}{3}\right)^{4\cdot2}\)

\(=\left(\dfrac{-2}{3}\right)^8\)

\(=\dfrac{256}{6561}\)

b) \(\left(0,125\right)^2\)

\(=\left[\left(0,5\right)^3\right]^2\)

\(=\left(0,5\right)^{3\cdot2}\)

\(=\left(0,5\right)^6\)

________

\(\left(0,0625\right)^3\)

\(=\left[\left(0,5\right)^4\right]^3\)

\(=\left(0,5\right)^{4\cdot3}\)

\(=\left(0,5\right)^{12}\)