Algebra Examples

$(b^{8} c^{6} d^{5}) (7 b^{6} c^{2} d)$

Step 1

Rewrite using the commutative property of multiplication.

$7 b^{8} c^{6} d^{5} (b^{6} c^{2} d)$

Step 2

Multiply $b^{8}$ by $b^{6}$ by adding the exponents.

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Step 2.1

Move $b^{6}$ .

$7 (b^{6} b^{8}) c^{6} d^{5} (c^{2} d)$

Step 2.2

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

$7 b^{6 + 8} c^{6} d^{5} (c^{2} d)$

Step 2.3

Add $6$ and $8$ .

$7 b^{14} c^{6} d^{5} (c^{2} d)$

Step 3

Multiply $c^{6}$ by $c^{2}$ by adding the exponents.

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Step 3.1

Move $c^{2}$ .

$7 b^{14} (c^{2} c^{6}) d^{5} d$

Step 3.2

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

$7 b^{14} c^{2 + 6} d^{5} d$

Step 3.3

Add $2$ and $6$ .

$7 b^{14} c^{8} d^{5} d$

Step 4

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

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Step 4.1

Move $d$ .

$7 b^{14} c^{8} (d \cdot d^{5})$

Step 4.2

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

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Step 4.2.1

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

$7 b^{14} c^{8} (d^{1} d^{5})$

Step 4.2.2

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

$7 b^{14} c^{8} d^{1 + 5}$

Step 4.3

Add $1$ and $5$ .

$7 b^{14} c^{8} d^{6}$