(3)/(x^(2))+(4)/(x^(3))=

Identify common denominator: Identify the common denominator. In order to add fractions, we need a common denominator. Here, the denominators are x^2 and x^3. The least common multiple of x^2 and x^3 is x^3.Rewrite with common denominator: Rewrite each fraction with the common denominator. The first fraction already has x^2 in the denominator, so we need to multiply the numerator and denominator by x to get the common denominator of x^3. (3)/(x^(2)) * (x/x) = (3x)/(x^(3)) The second fraction already has the common denominator of x^3, so it remains unchanged. (4)/(x^(3))Add fractions: Add the fractions. Now that both fractions have the same denominator, we can add them together. (3x)/(x^(3)) + (4)/(x^(3)) = (3x + 4)/(x^(3))Simplify expression: Simplify the expression, if possible. The expression (3x + 4)/(x^(3)) is already in its simplest form because the numerator and the denominator do not have any common factors other than 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$\frac{3}{x^{2}}+\frac{4}{x^{3}}=$

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

\frac{3}{x^{2}}+\frac{4}{x^{3}}=

Identify common denominator: Identify the common denominator. $\newline$ In order to add fractions, we need a common denominator. Here, the denominators are $x^2$ and $x^3$ . The least common multiple of $x^2$ and $x^3$ is $x^3$ .
Rewrite with common denominator: Rewrite each fraction with the common denominator. $\newline$ The first fraction already has $x^2$ in the denominator, so we need to multiply the numerator and denominator by $x$ to get the common denominator of $x^3$ . $\newline$ $\frac{3}{x^{2}} \cdot \frac{x}{x} = \frac{3x}{x^{3}}$ $\newline$ The second fraction already has the common denominator of $x^3$ , so it remains unchanged. $\newline$ $\frac{4}{x^{3}}$
Add fractions: Add the fractions. $\newline$ Now that both fractions have the same denominator, we can add them together. $\newline$ $(\frac{3x}{x^{3}}) + (\frac{4}{x^{3}}) = \frac{3x + 4}{x^{3}}$
Simplify expression: Simplify the expression, if possible. $\newline$ The expression $(3x + 4)/(x^{3})$ is already in its simplest form because the numerator and the denominator do not have any common factors other than $1$ .