If b^n = b^m, then what values of m and n satisfies the equation, (for b ≠ 0)?

If b^n = b^m, then what values of m and n satisfies the equation, (for b ≠ 0)?

Explanation

Given b^n = b^m, for b ≠ 0:

Step 1: Analyze the equation

If b^n = b^m, then n = m, or b = 1 or b = -1 with specific conditions on n and m.

Step 2: Consider the case when b ≠ 1 and b ≠ -1

For b ≠ 0, 1, or -1, the equation holds true when n = m.

Step 3: Look for an option that satisfies n = m

Among the given options, one possible solution where n = m is when both n and m are 0, since any non-zero number to the power of 0 is 1.

The answer is: m = 0 and n = 0.