Solve (5x)(7y)(5x)(7y)(5x)=

$$( 5 x ) ( 7 y ) ( 5 x ) ( 7 y ) ( 5 x ) =$$

Evaluate

$$6125y^{2}x^{3}$$

Solution Steps

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

$$5x^{2}\times 7y\times 5\times 7y\times 5x$$

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

$$5x^{3}\times 7y\times 5\times 7y\times 5$$

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

$$5x^{3}\times 7y^{2}\times 5\times 7\times 5$$

Multiply 5 and 7 to get 35.

$$35x^{3}y^{2}\times 5\times 7\times 5$$

Multiply 35 and 5 to get 175.

$$175x^{3}y^{2}\times 7\times 5$$

Multiply 175 and 7 to get 1225.

$$1225x^{3}y^{2}\times 5$$

Multiply 1225 and 5 to get 6125.

$$6125x^{3}y^{2}$$

Differentiate w.r.t. x

$$18375\left(xy\right)^{2}$$