Simplify (-(2b^5)/a)((3b)/(a^5))

$(- \frac{2 b^{5}}{a}) (\frac{3 b}{a^{5}})$

Multiply $\frac{3 b}{a^{5}}$ by $\frac{2 b^{5}}{a}$ .

$- \frac{3 b (2 b^{5})}{a^{5} a}$

Multiply $2$ by $3$ .

$- \frac{6 b \cdot b^{5}}{a^{5} a}$

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

Move $b^{5}$ .

$- \frac{6 (b^{5} b)}{a^{5} a}$

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

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

$- \frac{6 (b^{5} b^{1})}{a^{5} a}$

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

$- \frac{6 b^{5 + 1}}{a^{5} a}$

Add $5$ and $1$ .

$- \frac{6 b^{6}}{a^{5} a}$

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

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

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

$- \frac{6 b^{6}}{a^{5} a^{1}}$

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

$- \frac{6 b^{6}}{a^{5 + 1}}$

Add $5$ and $1$ .

$- \frac{6 b^{6}}{a^{6}}$