Question

(64/125)^-2/3+(256/625)^-1/4+(3/7)^0 evaluate

Answer 1

=(125/64)^2/3 + (625/256)^1/4 +1

=(5/4)^2 + (5/4) + 1

=25/16 + 5/4 + 1

= 61/16

= 3.81

Answer 2

$({ \frac{64}{125} )}^{ \frac{ - 2}{3} } + {( \frac{256}{625} )}^{ \frac{ - 1}{4} } + {( \frac{3}{7} )}^{0} \\ \\ \\ (\frac{ \sqrt[3]{64} }{ \sqrt[3]{125} } ) + (\frac{ \sqrt[4]{256} }{ \sqrt[4]{625} } ) + 1 \\ \\ \\( { \frac{4}{5}) }^{ - 2} + { (\frac{4}{5}) }^{ - 1} + 1 \\ \\ \\ ( { \frac{5}{4} )}^{ - 2} + \frac{5}{4} + 1 \\ \\ \\ \frac{25}{16} + \frac{5}{4} + 1 \\ \\ \\ taking \: \: lcm \: \: 16 \\ \\ \\ \frac{25 + 20 + 16}{16} \\ \\ \\ \frac{61}{16}$