Question

the value of (2/5)^-3 is​

Answer 1

RELEVANT ANSWER ⬇️..

$\frac{2}{5}^{ - 3} = \frac{5}{2}^{3} = \frac{125}{8}$

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Answer 2

Answer:

${ \huge(} {\dfrac{2}{5}{ \huge)} }^{ - 3}$

As there is negative sign in the power, we will reciprocal the term and then the sign will again to positive ( + ) .

$= { \huge(} { \dfrac{5}{2} { \huge)} }^{3}$

Now expand them....

$= \dfrac{5 \times 5 \times 5}{2 \times 2 \times 2}$

$= \dfrac{125}{8}$

Therefore, $\dfrac{125}{8}$ is the simplest form.

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