Finite Math Examples

${(- 8 m^{4})}^{2} m^{3}$

Step 1

Apply the product rule to $- 8 m^{4}$ .

${(- 8)}^{2} {(m^{4})}^{2} m^{3}$

Step 2

Raise $- 8$ to the power of $2$ .

$64 {(m^{4})}^{2} m^{3}$

Step 3

Multiply the exponents in ${(m^{4})}^{2}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$64 m^{4 \cdot 2} m^{3}$

Step 3.2

Multiply $4$ by $2$ .

$64 m^{8} m^{3}$

Step 4

Multiply $m^{8}$ by $m^{3}$ by adding the exponents.

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Step 4.1

Move $m^{3}$ .

$64 (m^{3} m^{8})$

Step 4.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$64 m^{3 + 8}$

Step 4.3

Add $3$ and $8$ .

$64 m^{11}$