Solve 14x^4/2x^4=

$$\frac { 14 x ^ { 4 } } { 2 x ^ { 4 } } =$$

Evaluate

$$7$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(14x^{4}\right)^{1}\times \frac{1}{2x^{4}}$$

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

$$14^{1}\left(x^{4}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{4}}$$

Use the Commutative Property of Multiplication.

$$14^{1}\times \frac{1}{2}\left(x^{4}\right)^{1}\times \frac{1}{x^{4}}$$

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

$$14^{1}\times \frac{1}{2}x^{4}x^{4\left(-1\right)}$$

Multiply 4 times -1.

$$14^{1}\times \frac{1}{2}x^{4}x^{-4}$$

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

$$14^{1}\times \frac{1}{2}x^{4-4}$$

Add the exponents 4 and -4.

$$14^{1}\times \frac{1}{2}x^{0}$$

Raise 14 to the power 1.

$$14\times \frac{1}{2}x^{0}$$

Multiply 14 times \frac{1}{2}.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{14^{1}x^{4}}{2^{1}x^{4}}$$

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

$$\frac{14^{1}x^{4-4}}{2^{1}}$$

Subtract 4 from 4.

$$\frac{14^{1}x^{0}}{2^{1}}$$

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

$$\frac{14^{1}}{2^{1}}$$

Divide 14 by 2.

$$7$$

Factor

$$7$$