Question

Descubra o valor de j: $( \frac{4}{5})^j * \frac{256}{625} = (\frac{25}{16})^j$

Answer 1

$(\frac{4}{5})^{j} * \frac{256}{625} = (\frac{25}{16})^{j}$
$(\frac{4}{5})^{j} * (\frac{4}{5})^{4} = (\frac{5}{4})^{2j}$
$(\frac{4}{5})^{j} * (\frac{4}{5})^{4} = (\frac{4}{5})^{-2j}$
Cortando todo os $(\frac{4}{5})$
j + 4 = -2j
j + 2j = -4
3j = -4
j = $-\frac{4}{3}$