Solve (-5x^2y)*(-3/7xy^2)*(7/5x^-2y^-2)

$$( - 5 x ^ { 2 } y ) \cdot ( - \frac { 3 } { 7 } x y ^ { 2 } ) \cdot ( \frac { 7 } { 5 } x ^ { - 2 } y ^ { - 2 } )$$

Evaluate

$$3xy$$

Solution Steps

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

$$-5x^{3}y\left(-\frac{3}{7}\right)y^{2}\times \frac{7}{5}x^{-2}y^{-2}$$

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

$$-5x^{1}y\left(-\frac{3}{7}\right)y^{2}\times \frac{7}{5}y^{-2}$$

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

$$-5x^{1}y^{3}\left(-\frac{3}{7}\right)\times \frac{7}{5}y^{-2}$$

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

$$-5x^{1}y^{1}\left(-\frac{3}{7}\right)\times \frac{7}{5}$$

Calculate x to the power of 1 and get x.

$$-5xy^{1}\left(-\frac{3}{7}\right)\times \frac{7}{5}$$

Calculate y to the power of 1 and get y.

$$-5xy\left(-\frac{3}{7}\right)\times \frac{7}{5}$$

Multiply -5 and -\frac{3}{7} to get \frac{15}{7}.

$$\frac{15}{7}xy\times \frac{7}{5}$$

Multiply \frac{15}{7} and \frac{7}{5} to get 3.

$$3xy$$

Differentiate w.r.t. x

$$3y$$