Find the value
$64^{\frac{5}{6}}$
$18$
$32$
$38$
$24$
Simplify $: 2^{-3}+(0.01)^{-\frac{1}{2}}-(27)^{\frac{2}{3}}$
Find the value
$\left(\frac{1}{27}\right)^{-\frac{2}{3}}$
If $a=\frac{\sqrt{5}}{8}$ and $\frac{8}{a}=b \sqrt{5},$ then find $b$.
Simplify: $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}$
Rationalise the denominator in each of the following
$\frac{1}{7-4 \sqrt{3}}$