Question

I need help with this 3^8/3

Answer 1

`3^7` or
`\sqrt[3]{3^8}` (refer to step-by-step)

Explanation:

I'm unsure whether this is supposed to be
`\frac{3^8}3` or
`3^(\frac83)`, so I'll answer both.

For the first one, we should remind ourselves of the exponential law that claims:
`(a^m)/(a^n) = a^(m - n)`

Therefore,
`\frac{3^8}3 = 3^(8 - 1) = 3^7`

For the latter, we should remind ourselves of the exponential law that claims:
`a^(\frac mn) = \sqrt[n]{a^m}`

Therefore,
`3^(\frac83) = \sqrt[3]{3^8}`

Answer 2

18.72

Explanation:

`3^{(8)/(3)}=3^{2+(2)/(3)}\\=3^2\cdot \:3^{(2)/(3)}\\3^2=9\\=9\cdot \:3^{(2)/(3)}\\=18.72`