Solve 1/16[operatorname{asas}(-1/4)]

$$\frac { 1 } { 16 } [ \operatorname { asas } ( - \frac { 1 } { 4 } ) ]$$

Evaluate

$$-\frac{\left(as\right)^{2}}{64}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(\frac{1}{16}\right)^{1}a^{1}s^{1}\left(-\frac{1}{4}\right)^{1}a^{1}s^{1}$$

Use the Commutative Property of Multiplication.

$$\left(\frac{1}{16}\right)^{1}\left(-\frac{1}{4}\right)^{1}a^{1}a^{1}s^{1}s^{1}$$

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

$$\left(\frac{1}{16}\right)^{1}\left(-\frac{1}{4}\right)^{1}a^{1+1}s^{1+1}$$

Add the exponents 1 and 1.

$$\left(\frac{1}{16}\right)^{1}\left(-\frac{1}{4}\right)^{1}a^{2}s^{1+1}$$

Add the exponents 1 and 1.

$$\left(\frac{1}{16}\right)^{1}\left(-\frac{1}{4}\right)^{1}a^{2}s^{2}$$

Multiply \frac{1}{16} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$-\frac{1}{64}a^{2}s^{2}$$

Differentiate w.r.t. a

$$-\frac{as^{2}}{32}$$