Question

Please give me step by step solution . if anyone give me correct solution i will mark that answer as a BRAINLIEST.​

Answer 1

Answer:

(256x^16/81y^4)^1/4

={(4x^4)^4/(3y)^4}^1/4

={(4x^4)/3y)}^4×1/4

=4x^4/3y

so (d) is the right answer

Answer 2

${ [\frac{256 {x}^{16} }{81 {y}^{4} } ]}^{ \frac{1}{4} }$

$\implies { [\frac{ {2}^{8} {x}^{16} }{ {3}^{4} {y}^{4} } ]}^{ \frac{1}{4} }$

$\implies { [\frac{ ({2}^{2} {x}^{4}) ^{4} }{ ({3} {y})^{4} } ]}^{ \frac{1}{4} }$

$\implies { [(\frac{ {2}^{2} {x}^{4} }{ {3} {y}}) ^{4}]}^{ \frac{1}{4} }$

$\implies \frac{ {2}^{2} {x}^{4} }{ {3} {y}}$

$\orange{ \therefore \frac{ 4 {x}^{4} }{ {3} {y}}}$

HOPE IT HELPS!!