Simplify (d^2)/d*8d^5

$\frac{d^{2}}{d} \cdot 8 d^{5}$

Rewrite using the commutative property of multiplication.

$8 \frac{d^{2}}{d} d^{5}$

Cancel the common factor of $d^{2}$ and $d$ .

Factor $d$ out of $d^{2}$ .

$8 \frac{d \cdot d}{d} d^{5}$

Cancel the common factors.

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

$8 \frac{d \cdot d}{d^{1}} d^{5}$

Factor $d$ out of $d^{1}$ .

$8 \frac{d \cdot d}{d \cdot 1} d^{5}$

Cancel the common factor.

$8 \frac{d \cdot d}{d \cdot 1} d^{5}$

Rewrite the expression.

$8 \frac{d}{1} d^{5}$

Divide $d$ by $1$ .

$8 d \cdot d^{5}$

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

Move $d^{5}$ .

$8 (d^{5} d)$

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

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

$8 (d^{5} d^{1})$

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

$8 d^{5 + 1}$

Add $5$ and $1$ .

$8 d^{6}$