Solve 6/xdiv4/x

$$\frac { 6 } { x } \div \frac { 4 } { x }$$

Evaluate

$$\frac{3}{2}=1.5$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(6\times \frac{1}{x}\right)^{1}\times \frac{1}{4\times \frac{1}{x}}$$

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

$$6^{1}\times \left(\frac{1}{x}\right)^{1}\times \frac{1}{4}\times \frac{1}{\frac{1}{x}}$$

Use the Commutative Property of Multiplication.

$$6^{1}\times \frac{1}{4}\times \left(\frac{1}{x}\right)^{1}\times \frac{1}{\frac{1}{x}}$$

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

$$6^{1}\times \frac{1}{4}\times \frac{1}{x}x^{-\left(-1\right)}$$

Multiply -1 times -1.

$$6^{1}\times \frac{1}{4}\times \frac{1}{x}x^{1}$$

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

$$6^{1}\times \frac{1}{4}x^{-1+1}$$

Add the exponents -1 and 1.

$$6^{1}\times \frac{1}{4}x^{0}$$

Raise 6 to the power 1.

$$6\times \frac{1}{4}x^{0}$$

Multiply 6 times \frac{1}{4}.

$$\frac{3}{2}x^{0}$$

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

$$\frac{3}{2}\times 1$$

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

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$