Solve -10ab^2div4a^2b^2*(-6a^2)

$$- 10 a b ^ { 2 } \div 4 a ^ { 2 } b ^ { 2 } \times ( - 6 a ^ { 2 } )$$

Evaluate

$$15b^{4}a^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{-10ab^{2}}{4}a^{4}b^{2}\left(-6\right)$$

Divide -10ab^{2} by 4 to get -\frac{5}{2}ab^{2}.

$$-\frac{5}{2}ab^{2}a^{4}b^{2}\left(-6\right)$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$-\frac{5}{2}a^{5}b^{2}b^{2}\left(-6\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$-\frac{5}{2}a^{5}b^{4}\left(-6\right)$$

Multiply -\frac{5}{2} and -6 to get 15.

$$15a^{5}b^{4}$$

Differentiate w.r.t. b

$$60b^{3}a^{5}$$