Solve 18abdiv3/8a*b1/8

$$18 a b \div \frac { 3 } { 8 } a \times b \frac { 1 } { 8 }$$

Evaluate

$$6\left(ab\right)^{2}$$

Solution Steps

Divide 18ab by \frac{3}{8} by multiplying 18ab by the reciprocal of \frac{3}{8}.

$$\frac{18ab\times 8}{3}ab\times \frac{1}{8}$$

Multiply 18 and 8 to get 144.

$$\frac{144ab}{3}ab\times \frac{1}{8}$$

Divide 144ab by 3 to get 48ab.

$$48abab\times \frac{1}{8}$$

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

$$48a^{2}bb\times \frac{1}{8}$$

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

$$48a^{2}b^{2}\times \frac{1}{8}$$

Multiply 48 and \frac{1}{8} to get \frac{48}{8}.

$$\frac{48}{8}a^{2}b^{2}$$

Divide 48 by 8 to get 6.

$$6a^{2}b^{2}$$

Differentiate w.r.t. a

$$12ab^{2}$$