Solve (4a^2)(-5a^3x^2)(-ay^2)

$$( 4 a ^ { 2 } ) ( - 5 a ^ { 3 } x ^ { 2 } ) ( - a y ^ { 2 } )$$

Evaluate

$$20a^{6}\left(xy\right)^{2}$$

Solution Steps

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

$$4a^{5}\left(-5\right)x^{2}\left(-a\right)y^{2}$$

Multiply 4 and -5 to get -20.

$$-20a^{5}x^{2}\left(-a\right)y^{2}$$

Multiply -20 and -1 to get 20.

$$20a^{5}x^{2}ay^{2}$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$20a^{6}x^{2}y^{2}$$

Differentiate w.r.t. x

$$40xy^{2}a^{6}$$