Question

Evaluate: (0.00032) raised to -2/5

Answer 1

Please see the attachment

Answer 2

Step-by-step explanation:

$\mathrm{ \underline{Given-}}$

$(0.00032 {)}^{ \frac{ - 2}{5} }$

$\mathrm{ \underline{Solution - }}$

$\mathrm{The \: given \: rational \: no.}$

$⟹(0.00032 {)}^{ \frac{ - 2}{5} }$

$⟹\bigg( \frac{32}{100000} \bigg) ^{ \frac{ - 2}{5} }$

Exponent terms given is negative exchange reciprocal term;

$⟹ \bigg( \frac{100000}{32} \bigg)^{ \frac{2}{5} }$

$⟹ \bigg( \frac{ {10}^{5} }{ {2}^{5} } \bigg)^{ \frac{2}{5} }$

$⟹\left[{\left({ \frac{10}{2} }\right)^{5} }\right]^{ \frac{2}{5} }$

$⟹ \bigg( \frac{10}{2} \bigg) ^{ \cancel5 \times \frac{2}{ \cancel5} }$

$⟹ \bigg( \frac{10}{2} \bigg) ^{2}$

$⟹ \frac{ {10}^{2} }{ {2}^{2} }$

$⟹ \frac{ \cancel{ {10}}^{5} \times \cancel{ {10}}^{5} }{\cancel{2} \times \cancel{2} }$

$⟹5 \times 5$

$⟹ \underline{25 \: Ans.}$

$\red{✎} \blue﹏﹏﹏﹏﹏ {}^{ \mathrm{i \: hope \: its \: help \: uhh.} }$

:)