Solve 7/x/frac{1{x}}

$$\frac { \frac { 7 } { x } } { \frac { 1 } { x } }$$

Evaluate

$$7$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(7\times \frac{1}{x}\right)^{1}\times \frac{1}{\frac{1}{x}}$$

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

$$7^{1}\times \left(\frac{1}{x}\right)^{1}\times \frac{1}{1}\times \frac{1}{\frac{1}{x}}$$

Use the Commutative Property of Multiplication.

$$7^{1}\times \frac{1}{1}\times \left(\frac{1}{x}\right)^{1}\times \frac{1}{\frac{1}{x}}$$

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

$$7^{1}\times \frac{1}{1}\times \frac{1}{x}x^{-\left(-1\right)}$$

Multiply -1 times -1.

$$7^{1}\times \frac{1}{1}\times \frac{1}{x}x^{1}$$

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

$$7^{1}\times \frac{1}{1}x^{-1+1}$$

Add the exponents -1 and 1.

$$7^{1}\times \frac{1}{1}x^{0}$$

Raise 7 to the power 1.

$$7\times \frac{1}{1}x^{0}$$

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

$$7\times \frac{1}{1}\times 1$$

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

$$7\times \frac{1}{1}$$

Factor

$$7$$