what is the simplified form of -9m^-2n^5 x 2m^-3n^-6

Answer 1

To simplify the expression -9m^-2n^5 * 2m^-3n^-6, let's combine the numerical and variable terms separately.

First, let's simplify the numerical terms:
-9 * 2 = -18.

Next, let's simplify the variable terms:
m^-2 * m^-3 = m^(-2-3) = m^-5.
n^5 * n^-6 = n^(5-6) = n^-1 (or 1/n).

Combining the numerical and variable terms, we get: -18m^-5n^-1.

Therefore, the simplified form of -9m^-2n^5 * 2m^-3n^-6 is -18m^-5n^-1.