Solve 12x^2/4x^2

$$\frac { 12 x ^ { 2 } } { 4 x ^ { 2 } }$$

Evaluate

$$3$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(12x^{2}\right)^{1}\times \frac{1}{4x^{2}}$$

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

$$12^{1}\left(x^{2}\right)^{1}\times \frac{1}{4}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$12^{1}\times \frac{1}{4}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$12^{1}\times \frac{1}{4}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$12^{1}\times \frac{1}{4}x^{2}x^{-2}$$

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

$$12^{1}\times \frac{1}{4}x^{2-2}$$

Add the exponents 2 and -2.

$$12^{1}\times \frac{1}{4}x^{0}$$

Raise 12 to the power 1.

$$12\times \frac{1}{4}x^{0}$$

Multiply 12 times \frac{1}{4}.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{12^{1}x^{2}}{4^{1}x^{2}}$$

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

$$\frac{12^{1}x^{2-2}}{4^{1}}$$

Subtract 2 from 2.

$$\frac{12^{1}x^{0}}{4^{1}}$$

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

$$\frac{12^{1}}{4^{1}}$$

Divide 12 by 4.

$$3$$

Factor

$$3$$