Evaluate Using the Given Value m^2n+2m^3 if m=-0.2 and n=-9.6

$m^{2} n + 2 m^{3}$ if $m = - 0.2$ and $n = - 9.6$

Step 1

Replace the variable $m$ with $- 0.2$ in the expression.

${(- 0.2)}^{2} n + 2 {(- 0.2)}^{3}$

Step 2

Replace the variable $n$ with $- 9.6$ in the expression.

${(- 0.2)}^{2} (- 9.6) + 2 {(- 0.2)}^{3}$

Step 3

Simplify each term.

Raise $- 0.2$ to the power of $2$ .

$0.04 \cdot - 9.6 + 2 {(- 0.2)}^{3}$

Multiply $0.04$ by $- 9.6$ .

$- 0.384 + 2 {(- 0.2)}^{3}$

Raise $- 0.2$ to the power of $3$ .

$- 0.384 + 2 \cdot - 0.008$

Multiply $2$ by $- 0.008$ .

$- 0.384 - 0.016$

Step 4

Subtract $0.016$ from $- 0.384$ .

$- 0.4$