Problem 35
Question
Simplify each exponential expression. $$\frac{x^{14}}{x^{7}}$$
Step-by-Step Solution
Verified Answer
The simplified exponential expression is \(x^7\).
1Step 1: 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.
2Step 2: 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 \(x^{14-7}\).
3Step 3: Simplify the expression
We subtract the exponents of x. This gives us \(x^{7}\).
Other exercises in this chapter
Problem 34
In Exercises \(33-44,\) add or subtract terms whenever possible. $$8 \sqrt{5}+11 \sqrt{5}$$
View solution Problem 35
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\
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Factor each trinomial, or state that the trinomial is prime. $$2 x^{2}+3 x y+y^{2}$$
View solution Problem 35
Add or subtract as indicated. $$\frac{x^{2}-2 x}{x^{2}+3 x}+\frac{x^{2}+x}{x^{2}+3 x}$$
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