Question

What value of n makes this equation true?

Answer 1

`(1)/(18)`

Explanation:

The value of n that will make equation true is
`(1)/(18)`;

Problem:

tⁿ =
`\sqrt[18]{t}`

To solve this problem, we have to apply the rules of exponent.

rule:
`\sqrt[]{y}` =
`y^{(1)/(2) }`

So;

tⁿ =
`t^{(1)/(18) }`

Also, rule: if yᵃ = yᵇ; then a= b;

tⁿ =
`t^{(1)/(18) }`

n =
`(1)/(18)`