Question

evaluate the following (2/5)^-3​

Answer 1

Answer:

$\sf \: { ( \frac{2}{5} )}^{ - 3}$

By

$\sf \: {( \frac{a}{b}) }^{m } = \frac{ {a}^{m} }{ {b}^{m} }$

$\sf \: \frac{ {2}^{ - 3} }{ {5}^{ - 3} }$

By

$\sf \: {a}^{ - n } = \frac{1}{ {a}^{n} }$

$\sf \: \frac{ {5}^{3} }{ {2}^{ 3} }$

We know that

$\sf \: {5}^{3 } = 625 \: and \: {2}^{3} = 8$

$\sf \: = > \frac{625}{8}$