Find the value

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

Simplify:

$64^{-\frac{1}{3}} + 64^{\frac{1}{3}} - 64^{\frac{2}{3}}$

Add $: 0 . \overline{35}+0 . \overline{28}$

Rationalise the denominator of the following:

$\frac{4 \sqrt{3}+5 \sqrt{2}}{\sqrt{48}+\sqrt{18}}$

Insert a rational number and an irrational number between the following:

$0.15$ and $0.16$

Add $4 \sqrt{3}+2 \sqrt{5}$ and $6 \sqrt{3}-4 \sqrt{5}$.