Basic Math Examples

${(3 m^{7})}^{4} \cdot m^{3}$

Step 1

Apply the product rule to $3 m^{7}$ .

$3^{4} {(m^{7})}^{4} \cdot m^{3}$

Step 2

Raise $3$ to the power of $4$ .

$81 {(m^{7})}^{4} \cdot m^{3}$

Step 3

Multiply the exponents in ${(m^{7})}^{4}$ .

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Step 3.1

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

$81 m^{7 \cdot 4} \cdot m^{3}$

Step 3.2

Multiply $7$ by $4$ .

$81 m^{28} \cdot m^{3}$

Step 4

Multiply $m^{28}$ by $m^{3}$ by adding the exponents.

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Step 4.1

Move $m^{3}$ .

$81 (m^{3} m^{28})$

Step 4.2

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

$81 m^{3 + 28}$

Step 4.3

Add $3$ and $28$ .

$81 m^{31}$