Solve 1/8x^-2y^-6

$$\frac { 1 } { 8 x ^ { - 2 } y ^ { - 6 } }$$

Evaluate

$$\frac{x^{2}y^{6}}{8}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\frac{1}{8x^{-2}y^{-6}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\frac{1}{8}\times \frac{1}{x^{-2}}\times \frac{1}{y^{-6}}$$

To raise a power to another power, multiply the exponents.

$$\frac{1}{8}x^{-2\left(-1\right)}y^{-6\left(-1\right)}$$

Multiply -2 times -1.

$$\frac{1}{8}x^{2}y^{-6\left(-1\right)}$$

Multiply -6 times -1.

$$\frac{1}{8}x^{2}y^{6}$$

Differentiate w.r.t. x

$$\frac{xy^{6}}{4}$$