Solve (x^9y^4)(-8xy^2)(-7x^3)

$$( x ^ { 9 } y ^ { 4 } ) ( - 8 x y ^ { 2 } ) ( - 7 x ^ { 3 } )$$

Evaluate

$$56y^{6}x^{13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.

$$x^{10}y^{4}\left(-8\right)y^{2}\left(-7\right)x^{3}$$

To multiply powers of the same base, add their exponents. Add 10 and 3 to get 13.

$$x^{13}y^{4}\left(-8\right)y^{2}\left(-7\right)$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$x^{13}y^{6}\left(-8\right)\left(-7\right)$$

Multiply -8 and -7 to get 56.

$$x^{13}y^{6}\times 56$$

Differentiate w.r.t. x

$$728y^{6}x^{12}$$