Question

What value of n makes this equation true?

Answer 1

Answer:

$\frac{1}{18}$

Step-by-step explanation:

The value of n that will make equation true is $\frac{1}{18}$;

  Problem:

             tⁿ  = $\sqrt[18]{t}$

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

   

                 rule:    $\sqrt[]{y}$ = $y^{\frac{1}{2} }$

So;

           tⁿ  = $t^{\frac{1}{18} }$  

Also,  rule:  if yᵃ = yᵇ; then a= b;

          tⁿ  = $t^{\frac{1}{18} }$  

            n = $\frac{1}{18}$