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

Multiply Fractions by Reciprocal: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. Calculation: (x^(3))/(2) * (3)/(5x^(2))Multiply Numerators and Denominators: Now we multiply the numerators and the denominators separately. Calculation: (x^(3) * 3) / (2 * 5x^(2))Simplify Multiplication: Simplify the multiplication. Calculation: (3x^(3)) / (10x^(2))Cancel Common Factors: Now we simplify the expression by canceling out common factors. x^(3) divided by x^(2) is x^(3-2) which is x. Calculation: (3x) / (10)Final Simplified Answer: The expression is now fully simplified. Final Answer: (3x) / (10)

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Perform the operation and simplify the answer fully.

(x^(3))/(2)÷(5x^(2))/(3)
Answer:

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

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Calculus

Find derivatives of using multiple formulae

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

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

\newline

Answer:

Multiply Fractions by Reciprocal: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ Calculation: $(\frac{x^{3}}{2}) \times (\frac{3}{5x^{2}})$
Multiply Numerators and Denominators: Now we multiply the numerators and the denominators separately. $\newline$ Calculation: $(x^{3} \times 3) / (2 \times 5x^{2})$
Simplify Multiplication: Simplify the multiplication. $\newline$ Calculation: $(\frac{3x^{3}}{10x^{2}})$
Cancel Common Factors: Now we simplify the expression by canceling out common factors. $x^{3}$ divided by $x^{2}$ is $x^{3-2}$ which is $x$ . $\newline$ Calculation: $(3x) / (10)$
Final Simplified Answer: The expression is now fully simplified. $\newline$ Final Answer: $(3x) / (10)$