Perform the operation and simplify the answer fully. ((2x^(3))/(5))/((3x^(3))/(4)) Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single division problem by multiplying by the reciprocal of the denominator. The expression ((2x^(3))/(5))/((3x^(3))/(4)) can be rewritten as ((2x^(3))/(5)) * ((4)/(3x^(3))).Rewrite as Division Problem: Simplify the expression by canceling out common factors. In this case, the x^(3) terms in the numerator and denominator cancel each other out, and we can multiply the coefficients (2/5) * (4/3). (2x^(3))/(5) * (4)/(3x^(3)) = (2 * 4)/(5 * 3) = 8/15.Simplify Expression: Check for any further simplification. The fraction 8/15 is already in its simplest form, as 8 and 15 have no common factors other than 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Perform the operation and simplify the answer fully.

((2x^(3))/(5))/((3x^(3))/(4))
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{\frac{2 x^{3}}{5}}{\frac{3 x^{3}}{4}}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Precalculus

Operations with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{\frac{2 x^{3}}{5}}{\frac{3 x^{3}}{4}}

\newline

Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single division problem by multiplying by the reciprocal of the denominator. $\newline$ The expression $\frac{2x^{3}}{5}\div\frac{3x^{3}}{4}$ can be rewritten as $\frac{2x^{3}}{5} \times \frac{4}{3x^{3}}$ .
Rewrite as Division Problem: Simplify the expression by canceling out common factors. $\newline$ In this case, the $x^{3}$ terms in the numerator and denominator cancel each other out, and we can multiply the coefficients $(\frac{2}{5}) \cdot (\frac{4}{3})$ . $\newline$ $(\frac{2x^{3}}{5}) \cdot (\frac{4}{3x^{3}}) = (\frac{2 \cdot 4}{5 \cdot 3}) = \frac{8}{15}.$
Simplify Expression: Check for any further simplification. $\newline$ The fraction $\frac{8}{15}$ is already in its simplest form, as $8$ and $15$ have no common factors other than $1$ .