Question

(-3/5)^-4 × (-2/5)^2 step-by-step explantion required​

Answer 1

Answer:

$( { \frac{ - 3}{5} )}^{ - 4} \times ( { \frac{ - 2}{5} )}^{2} \\ = ( { \frac{ - 5}{3}) }^{4} \times ( { \frac{ - 2}{5} )}^{2} \\ = ( \frac{( - 5) \times ( - 5) \times ( - 5) \times ( - 5)}{3 \times 3 \times 3 \times 3 } )\times (\frac{( - 2) \times - 2)}{5 \times 5} ) \\ = \frac{625}{81} \times \frac{4}{25} = \frac{625 \times 4}{81 \times 25} \\ = \frac{25000}{2025} = \frac{100}{81}$