Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
The value of n that will make equation true is [tex]\frac{1}{18}[/tex];
Problem:
tⁿ = [tex]\sqrt[18]{t}[/tex]
To solve this problem, we have to apply the rules of exponent.
rule: [tex]\sqrt[]{y}[/tex] = [tex]y^{\frac{1}{2} }[/tex]
So;
tⁿ = [tex]t^{\frac{1}{18} }[/tex]
Also, rule: if yᵃ = yᵇ; then a= b;
tⁿ = [tex]t^{\frac{1}{18} }[/tex]
n = [tex]\frac{1}{18}[/tex]
