Question

clarify this .............

Answer 1

4^3=64  

1/64=1/4  

1*1*1=1  

4*4*4=64

Answer 2

$\sqrt[3]{(64)} = \sqrt[3]{ {4}^{3} } = 4 \\ \\ \sqrt[3]{ \frac{1}{64} } = \sqrt[3]{ \frac{1}{ {4}^{3} } } = \frac{1}{ \sqrt[3]{ {4}^{3} } } = \frac{1}{4} \\ \\ \frac{1}{3} \times \sqrt{ \frac{1}{64} } = \frac{1}{3} \times \frac{1}{8} = \frac{1}{24} \\ \\ we \: dont \: write \: \sqrt[ \frac{1}{3} ]{64} . \\ we \: write \: {(64)}^{( \frac{1}{3} )} \: which \: is \: \sqrt[3]{64} = 4$