Question

-8m^4n^8•(-3/4nm^7)

Answer 1

$-8m^4n^8\cdot (-\frac{3}{4}\, nm^7)=8\cdot \frac{3}{4}\cdot m^{4+7}\cdot n^{8+1}=6\, m^{11}\, n^9$

Answer 2

To simplify the expression (-8m^4n^8) • (-3/4nm^7), we can multiply the coefficients and combine the variables with the same base. Here's the step-by-step solution:

1. Multiply the coefficients: (-8) • (-3/4) = 24/4 = 6

2. Multiply the variables with the same base. Let's start with the variable 'm': m^4 • m^7 = m^(4 + 7) = m^11

3. Next, multiply the variables with the same base 'n': n^8 • n = n^(8 + 1) = n^9

4. Finally, combine the results for 'm' and 'n' into the simplified expression: 6m^11n^9

Therefore, (-8m^4n^8) • (-3/4nm^7) simplifies to 6m^11n^9.