Question

(0.00032) ^ (- 2/5) * (32/10000) ^ (- 2/5)​

Answer 1

Question:

Solve the following:

${0.00032}^{ \frac{ - 2}{5} } \times { \frac{32}{10000} }^{ \frac{ - 2}{5} }$

Answer:

W.K.T

${a}^{m} \times {b}^{m} = {(ab)}^{m}$

Here,

a = $0.00032$

b = ${ \frac{32}{10000} }$

m = $\frac{ - 2}{5}$

$[(0.00032)( \frac{32}{10000})]^{ \frac{ - 2}{5} }$

${ [\frac{32}{10000} \times \frac{32}{10000} ]}^{ \frac{-2}{5} }$

$= {[\frac{1024}{100,000,000} ]}^{ \frac{-2}{5} }$

$= {97,656.25}^{ \frac{ - 2}{5} }$