Solve -ab^3cquad1,5a^5b

$$- a b ^ { 3 } c \quad 1,5 a ^ { 5 } b$$

Evaluate

$$-\frac{c_{1}b^{4}a^{6}}{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\left(-a\right)b^{4}c_{1}\times 0,5a^{5}$$

Multiply -1 and 0,5 to get -0,5.

$$-0,5ab^{4}c_{1}a^{5}$$

To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.

$$-0,5a^{6}b^{4}c_{1}$$

Differentiate w.r.t. c_1

$$-\frac{b^{4}a^{6}}{2}$$