Solve 12ay^3div3/5a^2y

$$12 a y ^ { 3 } \div \frac { 3 } { 5 } a ^ { 2 } y$$

Evaluate

$$20a^{3}y^{4}$$

Solution Steps

Divide 12ay^{3} by \frac{3}{5} by multiplying 12ay^{3} by the reciprocal of \frac{3}{5}.

$$\frac{12ay^{3}\times 5}{3}a^{2}y$$

Multiply 12 and 5 to get 60.

$$\frac{60ay^{3}}{3}a^{2}y$$

Divide 60ay^{3} by 3 to get 20ay^{3}.

$$20ay^{3}a^{2}y$$

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

$$20a^{3}y^{3}y$$

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

$$20a^{3}y^{4}$$

Differentiate w.r.t. a

$$60a^{2}y^{4}$$