Question

If 3 to the power n=27 then find value of 3 to the power of n-2

Answer 1

3^n=27⇒3^n=3^3
since the bases are equal, exponents must be equal.
therefore, n=3
3^n-2⇒3^3-2⇒3^1⇒3

Therefore the value of 3^n-2 is 3

Answer 2

$3^n = 27 \\ \\ 3^{n-2} = \frac{3^n}{3^2} \\ \\ = 27/9 = 3$