Question

If you could plz help it would be greatly appreciated. Questions in picture :)

Answer 1

Notice that 8 can be written in exponential form of $2^{3}$

When you see $(2^{3} )^{\frac{8}{3} }$ , recognize that  $(a^{m} )^{n} =a^{mn}$

3 × $\frac{8}3}$ = 8

Hence, the answer is $2^{8}$ . Which means 256.

Here is some indices rules/formulas you might find helpful as well:

$a^{m} * a^{n} =a^{m+n} \\\\ a^{m} /a^{n} =a^{m-n} \\\\ (a^{m} )^{n} =a^{mn} \\\\ a^{-m} =\frac{1}{a^{m} }$