Solve 13/2x^2/2x^2

$$\frac{ \frac{ 13 }{ 2 } { x }^{ 2 } }{ 2 { x }^{ 2 } }$$

Evaluate

$$\frac{13}{4}=3.25$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(\frac{13}{2}x^{2}\right)^{1}\times \frac{1}{2x^{2}}$$

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

$$\left(\frac{13}{2}\right)^{1}\left(x^{2}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$\left(\frac{13}{2}\right)^{1}\times \frac{1}{2}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$\left(\frac{13}{2}\right)^{1}\times \frac{1}{2}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$\left(\frac{13}{2}\right)^{1}\times \frac{1}{2}x^{2}x^{-2}$$

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

$$\left(\frac{13}{2}\right)^{1}\times \frac{1}{2}x^{2-2}$$

Add the exponents 2 and -2.

$$\left(\frac{13}{2}\right)^{1}\times \frac{1}{2}x^{0}$$

Raise \frac{13}{2} to the power 1.

$$\frac{13}{2}\times \frac{1}{2}x^{0}$$

Multiply \frac{13}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$\frac{13}{4}x^{0}$$

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

$$\frac{13}{4}\times 1$$

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

$$\frac{13}{4}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(\frac{13}{2}\right)^{1}x^{2}}{2^{1}x^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\left(\frac{13}{2}\right)^{1}x^{2-2}}{2^{1}}$$

Subtract 2 from 2.

$$\frac{\left(\frac{13}{2}\right)^{1}x^{0}}{2^{1}}$$

For any number a except 0, a^{0}=1.

$$\frac{\left(\frac{13}{2}\right)^{1}}{2^{1}}$$

Divide \frac{13}{2} by 2.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$