Solve 1/x/frac{3{x}}

$$\frac { \frac { 1 } { x } } { \frac { 3 } { x } }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{1}{x^{1}}\times \frac{1}{3\times \frac{1}{x}}$$

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

$$\frac{1}{1}\times \frac{1}{x^{1}}\times \frac{1}{3}\times \frac{1}{\frac{1}{x}}$$

Use the Commutative Property of Multiplication.

$$\frac{1}{1}\times \frac{1}{3}\times \frac{1}{x^{1}}\times \frac{1}{\frac{1}{x}}$$

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

$$\frac{1}{1}\times \frac{1}{3}\times \frac{1}{x}x^{-\left(-1\right)}$$

Multiply -1 times -1.

$$\frac{1}{1}\times \frac{1}{3}\times \frac{1}{x}x^{1}$$

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

$$\frac{1}{1}\times \frac{1}{3}x^{-1+1}$$

Add the exponents -1 and 1.

$$\frac{1}{1}\times \frac{1}{3}x^{0}$$

Raise 3 to the power -1.

$$\frac{1}{3}x^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{1}{3}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$