Solve p^{0}q^{-6}*p^0q^0*p^-1q^-1

$$p ^ { 0 } q ^ { - 6 } \cdot p ^ { 0 } q ^ { 0 } \cdot p ^ { - 1 } q ^ { - 1 }$$

Evaluate

$$\frac{1}{pq^{7}}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$p^{0}q^{-6}p^{0}q^{0}\times \frac{1}{q}\times \frac{1}{p}$$

Use the Commutative Property of Multiplication.

$$p^{0}q^{0}q^{-6}\times \frac{1}{q}p^{0}\times \frac{1}{p}$$

To multiply powers of the same base, add their exponents.

$$p^{0}q^{0}q^{-6-1}\times \frac{1}{p}$$

Add the exponents -6 and -1.

$$p^{0}q^{0}q^{-7}\times \frac{1}{p}$$

Add the exponents 0 and -1.

$$p^{0}q^{0}\times \frac{1}{q^{7}}\times \frac{1}{p}$$

Raise p to the power 0.

$$q^{0}\times \frac{1}{q^{7}}\times \frac{1}{p}$$

Raise q to the power 0.

$$\frac{1}{q^{7}}\times \frac{1}{p}$$

Differentiate w.r.t. p

$$-\frac{1}{p^{2}q^{7}}$$