Question

(3^m)^2=81 Найти ^m ^степень

Answer 1

$( 3^m )^{2} = 81 \\ 3^{m} = 9 \\ m = 2$

Answer 2

To find the value of m in the equation (3^m)^2 = 81, we need to solve for m. Let's go step by step:

Step 1: Simplify the left side of the equation. (3^m)^2 means (3^m) raised to the power of 2, which is equivalent to (3^m) * (3^m) = 9^m.

So, the equation becomes: 9^m = 81

Step 2: Find the value of m. To find the value of m, we need to determine what power we raise 9 to in order to get 81.

81 = 9^2

Therefore, m = 2.

So, m^2 = 2^2 = 4.