Algebra Examples

$m^{8} n \cdot m^{3} n^{5}$

Step 1

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

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Step 1.1

Move $m^{3}$ .

$m^{3} m^{8} n \cdot n^{5}$

Step 1.2

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

$m^{3 + 8} n \cdot n^{5}$

Step 1.3

Add $3$ and $8$ .

$m^{11} n \cdot n^{5}$

Step 2

Multiply $n$ by $n^{5}$ by adding the exponents.

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Step 2.1

Move $n^{5}$ .

$m^{11} (n^{5} n)$

Step 2.2

Multiply $n^{5}$ by $n$ .

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Step 2.2.1

Raise $n$ to the power of $1$ .

$m^{11} (n^{5} n^{1})$

Step 2.2.2

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

$m^{11} n^{5 + 1}$

Step 2.3

Add $5$ and $1$ .

$m^{11} n^{6}$