Question

[(3/5)^2×(5/3)^3]^-1

Answer 1

Respuesta:

Explicación paso a paso:

$((\frac{3}{5})^{2} .(\frac{5}{3})^{3})^{-1} \\=(\frac{3}{5})^{2.(-1)} .(\frac{5}{3})^{3.(-1)}=\\\\(\frac{3}{5})^{-2} .(\frac{5}{3})^{-3}= (\frac{5}{3})^{2} .(\frac{3}{5})^{3}= \frac{5^{2} }{3^{2} }. \frac{3^{3} }{5^{3} } =\frac{3^{3-2} }{5^{3-2} } =\frac{3^{1} }{5^{1} } =\frac{3}{5}$