Solve -1,1d^14n^2*1,7d^7n

$$- 1,1 d ^ { 14 } n ^ { 2 } \cdot 1,7 d ^ { 7 } n$$

Evaluate

$$-\frac{187n^{3}d^{21}}{100}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-1,1\right)^{1}d^{14}n^{2}\times 1,7^{1}d^{7}n^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-1,1\right)^{1}\times 1,7^{1}d^{14}d^{7}n^{2}n^{1}$$

To multiply powers of the same base, add their exponents.

$$\left(-1,1\right)^{1}\times 1,7^{1}d^{14+7}n^{2+1}$$

Add the exponents 14 and 7.

$$\left(-1,1\right)^{1}\times 1,7^{1}d^{21}n^{2+1}$$

Add the exponents 2 and 1.

$$\left(-1,1\right)^{1}\times 1,7^{1}d^{21}n^{3}$$

Multiply -1,1 times 1,7 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$-1,87d^{21}n^{3}$$

Differentiate w.r.t. d

$$-\frac{3927n^{3}d^{20}}{100}$$