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Chapter 0: Problem 35

Simplify each exponential expression. $$\frac{x^{14}}{x^{7}}$$

Short Answer

Expert verified
The simplified exponential expression is \(x^7\).

Step by step solution

01

Identify the bases and the exponents

Our numerator and denominator both have base \(x\). The exponent in the numerator is 14, whereas the exponent in the denominator is 7.
02

Apply the laws of exponents

The law of exponents for division states that when we have a fraction where the numerator and denominator have the same base, we can subtract the exponent in the denominator from the exponent in the numerator. So we can write this as \(x^{14-7}\).
03

Simplify the expression

We subtract the exponents of x. This gives us \(x^{7}\).

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