Basic Math Examples

$(- 16 a^{6} b^{2}) (- 6 a b^{4})$

Step 1

Multiply $a^{6}$ by $a$ by adding the exponents.

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Step 1.1

Move $a$ .

$- 16 (a \cdot a^{6}) b^{2} (- 6 b^{4})$

Step 1.2

Multiply $a$ by $a^{6}$ .

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Step 1.2.1

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

$- 16 (a^{1} a^{6}) b^{2} (- 6 b^{4})$

Step 1.2.2

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

$- 16 a^{1 + 6} b^{2} (- 6 b^{4})$

Step 1.3

Add $1$ and $6$ .

$- 16 a^{7} b^{2} (- 6 b^{4})$

Step 2

Multiply $b^{2}$ by $b^{4}$ by adding the exponents.

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Step 2.1

Move $b^{4}$ .

$- 16 a^{7} (b^{4} b^{2}) \cdot - 6$

Step 2.2

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

$- 16 a^{7} b^{4 + 2} \cdot - 6$

Step 2.3

Add $4$ and $2$ .

$- 16 a^{7} b^{6} \cdot - 6$

Step 3

Multiply $- 6$ by $- 16$ .

$96 a^{7} b^{6}$