Perform the operation and simplify the answer fully. ((5)/(2x^(3)))/((3x)/(7)) Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single fraction by multiplying by the reciprocal of the denominator. The expression is ((5)/(2x^(3)))/((3x)/(7)). To divide by a fraction, we multiply by its reciprocal. So, ((5)/(2x^(3)))*((7)/(3x)) is the expression we will simplify.Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. (5 * 7) = 35 for the numerators and (2x^(3) * 3x) = 6x^(4) for the denominators. So, the expression becomes (35)/(6x^(4)).Check for Further Simplification: Check if the fraction can be simplified further. The numbers 35 and 6 have no common factors other than 1, and the variable part cannot be simplified further. Therefore, the expression is already in its simplest form.

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Perform the operation and simplify the answer fully.

((5)/(2x^(3)))/((3x)/(7))
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{\frac{5}{2 x^{3}}}{\frac{3 x}{7}}$ $\newline$ Answer:

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Q. Perform the operation and simplify the answer fully.

\newline

\frac{\frac{5}{2 x^{3}}}{\frac{3 x}{7}}

\newline

Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single fraction by multiplying by the reciprocal of the denominator. $\newline$ The expression is $\frac{5}{2x^{3}}$ / $\frac{3x}{7}$ . To divide by a fraction, we multiply by its reciprocal. $\newline$ So, $\frac{5}{2x^{3}}$ $\frac{7}{3x}$ is the expression we will simplify.
Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. $\newline$ $(5 \times 7) = 35$ for the numerators and $(2x^{3} \times 3x) = 6x^{4}$ for the denominators. $\newline$ So, the expression becomes $\frac{35}{6x^{4}}$ .
Check for Further Simplification: Check if the fraction can be simplified further. The numbers $35$ and $6$ have no common factors other than $1$ , and the variable part cannot be simplified further. Therefore, the expression is already in its simplest form.