Solve 24x^2ab^3div33xab^2=

$$24 x ^ { 2 } a b ^ { 3 } \div 33 x a b ^ { 2 } =$$

Evaluate

$$\frac{8a^{2}x^{3}b^{5}}{11}$$

Solution Steps

Divide 24x^{2}ab^{3} by 33 to get \frac{8}{11}x^{2}ab^{3}.

$$\frac{8}{11}x^{2}ab^{3}xab^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{8}{11}x^{3}ab^{3}ab^{2}$$

Multiply a and a to get a^{2}.

$$\frac{8}{11}x^{3}a^{2}b^{3}b^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{8}{11}x^{3}a^{2}b^{5}$$

Differentiate w.r.t. x

$$\frac{24b^{5}\left(ax\right)^{2}}{11}$$