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) )^{(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) =(1)/(a^(m) )`