Question

simplify (64÷125)^2÷3​

Answer 1

Answer:

(64/125)^2÷3=64^2/125^2÷3

64^2= 4096

125^2=15,625

4096/15,625÷3=4096/46875

=0.0874.....ans

Answer 2

$\star\:\:\bf\large\underline\blue{Question:-}$

• Simplify ${( \frac{64}{125}) }^{ \frac{2}{3} }$

$\star\:\:\bf\large\underline\blue{Solution:-}$

${( \frac{64}{125}) }^{ \frac{2}{3} }$

$= {( \frac{ {4}^{3} }{ {5}^{3} } })^{ \frac{2}{3} }$

Using the law of exponent, i.e.,

$( {x}^{y} )^{z} = {x}^{yz}$, we get,

${( \frac{ {4}^{3} }{ {5}^{3} } })^{ \frac{2}{3} }$

$= \frac{ {4}^{ \cancel{3} \times \frac{2}{ \cancel{3}} } }{ {5}^{ \cancel{3 }\times \frac{2}{ \cancel{3}} } }$

$= \frac{ {4}^{2} }{ {5}^{2} }$

$= \frac{16}{25}$

$\star\:\:\bf\large\underline\blue{Answer:-}$

• $\frac{16}{25}$