Simplify b^3b^4b^7*b

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

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

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

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

Add $3$ and $4$ .

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

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

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

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

Add $7$ and $7$ .

$b^{14} \cdot b$

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

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

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

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

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

$b^{14 + 1}$

Add $14$ and $1$ .

$b^{15}$

Simplify b^3*b^4*b^7*b