Algebra Examples

$b^{3} \cdot b^{4} \cdot b^{7} \cdot b$

Step 1

Multiply $b^{3}$ by $b^{4}$ by adding the exponents.

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Step 1.1

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

$b^{3 + 4} \cdot b^{7} \cdot b$

Step 1.2

Add $3$ and $4$ .

$b^{7} \cdot b^{7} \cdot b$

Step 2

Multiply $b^{7}$ by $b^{7}$ by adding the exponents.

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Step 2.1

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

$b^{7 + 7} \cdot b$

Step 2.2

Add $7$ and $7$ .

$b^{14} \cdot b$

Step 3

Multiply $b^{14}$ by $b$ by adding the exponents.

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Step 3.1

Multiply $b^{14}$ by $b$ .

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Step 3.1.1

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

$b^{14} \cdot b^{1}$

Step 3.1.2

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

$b^{14 + 1}$

Step 3.2

Add $14$ and $1$ .

$b^{15}$