Math, asked by Preetimodi78, 8 months ago

256 divide 625) raise to the power 3 / 4

Answers

Answered by itzvishuhere
56

Heya mate!!

 { \frac{256}{625} }^{ \frac{3}{4} }  \\  { \frac{4}{5} }^{ \frac{3}{4}  \times 4}  \\  { \frac{4}{5} }^{3}  \\  \frac{64}{125}

Hope it helps u dear✌️✌️

Answered by umiko28
15

 \huge\purple{ \mathbb{QUESTION }}

  \huge\bf{ ( \frac{256}{625} )}^{ \frac{3}{4}  }   =  ?\\  \\  \sf\  \implies:   { (\frac{ {4}^{4} }{ {5}^{4} }) }^{ \frac{3}{4} }  \\  \\  \sf\  \implies: \frac{ {4}^{4 \times  \frac{3}{4} } }{ {5}^{4 \times  \frac{3}{4} } } \\  \\  \sf\  \implies:  \frac{ {4}^{3} }{ {5}^{3} }  \\  \\  \sf\boxed{\underline{  \implies:  {( \frac{4}{5} )}^{3} =\frac{64}{125}}}

 \huge\purple{ \mathbb{SOLUTION}}

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