Solve 3(x)^2/2(x)^2

$$\frac { 3 ( x ) ^ { 2 } } { 2 ( x ) ^ { 2 } }$$

Evaluate

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

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(3x^{2}\right)^{1}\times \frac{1}{2x^{2}}$$

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

$$3^{1}\left(x^{2}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times \frac{1}{2}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$3^{1}\times \frac{1}{2}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$3^{1}\times \frac{1}{2}x^{2}x^{-2}$$

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

$$3^{1}\times \frac{1}{2}x^{2-2}$$

Add the exponents 2 and -2.

$$3^{1}\times \frac{1}{2}x^{0}$$

Raise 3 to the power 1.

$$3\times \frac{1}{2}x^{0}$$

Multiply 3 times \frac{1}{2}.

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

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.

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

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{3^{1}x^{2}}{2^{1}x^{2}}$$

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

$$\frac{3^{1}x^{2-2}}{2^{1}}$$

Subtract 2 from 2.

$$\frac{3^{1}x^{0}}{2^{1}}$$

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

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

Divide 3 by 2.

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

Factor

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