Which expression is equivalent to m3−mm−1
for m≠1
(1 point)
m² - m - 1
To simplify the expression m^3 - m * m^(-1) for m ≠ 1, we can use the properties of exponents.
Firstly, let's apply the property of negative exponents, which states that m^(-n) = 1/m^n. In this case, we can rewrite m^(-1) as 1/m.
Now, the expression becomes m^3 - m * (1/m).
Next, we can simplify the expression by multiplying m and (1/m). The product of these two terms is always equal to 1.
So, the expression finally simplifies to m^3 - 1.
Therefore, the expression equivalent to m^3 - m * m^(-1) for m ≠ 1 is m^3 - 1.