Which expression is equivalent to m3−mm−1
for m≠1
(1 point)
Responses
m2
m2
To simplify the expression m^3 - m^(m-1), we can break it down into two parts.
First, we have m^3. This represents m raised to the power of 3.
Second, we have m^m-1. This represents m raised to the power of m-1.
Now, let's simplify each part individually.
For m^3, we can rewrite it as m * m * m.
For m^(m-1), we can rewrite it as m * m * ... * m (m-1 times).
Now, let's simplify further.
m * m * m - m * m * ... * m (m-1 times)
Simplifying this expression, we can see that all the factors cancel out except for one m.
m^3 - m * m * ... * m (m-1 times)
Since all the factors except for one m cancel out, the expression simplifies to:
m^2
Therefore, the expression m^3 - m^(m-1) simplifies to m^2 when m is not equal to 1.