Question

Simplify 81^5=3^w and find w

Answer 1

`w = 20`

Explanation:

Step 1: Find common bases

`81^5 = 3^w`

`81` →
`3 * 3 * 3 * 3` →
`3^4`

Therefore,
`81 = 3^4`

`81^5` →
`3^(^4^)^*^5` →
`3^2^0`

So...
`3^2^0 = 3^w`

Since same base now, we can evaluate the exponents by themselves.

`20 = w`

Answer:
`w = 20`