Question

Which is bigger? 92^7 or 3^81? Hint: can you write 9^27 as an exponential expression with a base of 3?​

Answer 1

`{3}^(81)` is bigger.

Explanation:

`{9}^(27) = ( {3}^(2) )^(27) = {3}^(2 * 27) = {3}^(54) \\`

If we compare the exponents of
`{3}^(54)` and
`{3}^(81)` it can be concluded that:

`{3}^(81)` >
`{3}^(54)`