Question

What is the value of x ?

Answer 1

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${ (\frac{4}{5} }^{ - 10} ) \times { (\frac{15}{32}) }^{ - 10} = {x}^{5} \\ \\ ( { \frac{4}{5} \times \frac{15}{32} )}^{ - 10} = {x}^{5} \\ \\ {( \frac{3}{8} )}^{ - 10} = {x}^{5} \\ \\ {( \frac{8}{3}) }^{10 } = {x}^{5} \\ \\ x = { (\frac{8}{3} )}^{10 \times \frac{1}{5} } \\ \\ x = { \frac{8}{3} }^{2} \\ \\ x =\underline{\underline { \frac{64}{9} }}$