what is simplified form of -9m^-2n^5 times 2m^-3n^-6?
-18m^5n
-18/m^5n
-18m^6/n^30
-18m^6n^30
The simplified form of -9m^-2n^5 times 2m^-3n^-6 is -18m^6/n^30
To multiply the terms, we'll multiply the coefficients and add the exponents for each variable.
First, let's multiply the numerical coefficients:
-9 * 2 = -18
Next, let's simplify the variables:
m^(-2) * m^(-3) = m^(-2 - 3) = m^(-5)
n^5 * n^(-6) = n^(5 - 6) = n^(-1) = 1/n
Combining everything, we have:
-18m^(-5) * (1/n)
To simplify further, we can rewrite m^(-5) as 1/m^5:
-18 * (1/m^5) * (1/n)
Multiplying the numerical coefficients, we have:
-18/m^5n
Therefore, the simplified form of -9m^(-2)n^5 * 2m^(-3)n^(-6) is -18/m^5n.