Solve (-5p^2q)(-9p^2)(-5pq^3)

$$( - 5 p ^ { 2 } q ) ( - 9 p ^ { 2 } ) ( - 5 p q ^ { 3 } )$$

Evaluate

$$-225q^{4}p^{5}$$

Solution Steps

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

$$-5p^{4}q\left(-9\right)\left(-5\right)pq^{3}$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$-5p^{5}q\left(-9\right)\left(-5\right)q^{3}$$

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

$$-5p^{5}q^{4}\left(-9\right)\left(-5\right)$$

Multiply -5 and -9 to get 45.

$$45p^{5}q^{4}\left(-5\right)$$

Multiply 45 and -5 to get -225.

$$-225p^{5}q^{4}$$

Differentiate w.r.t. q

$$-900q^{3}p^{5}$$