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

Understand the Problem: Understand the problem. We need to simplify the complex fraction ((x)/(3))/((3)/(2x^(2))).Rewrite as Division: Rewrite the complex fraction as a division problem. ((x)/(3)) ÷ ((3)/(2x^(2)))Multiply by Reciprocal: Multiply by the reciprocal of the divisor. ((x)/(3)) * ((2x^(2))/(3))Multiply Numerators and Denominators: Multiply the numerators and denominators. (x * 2x^(2)) / (3 * 3)Simplify Multiplication: Simplify the multiplication of x terms. (2x^(3)) / 9Check for Further Simplification: Check if further simplification is possible. The expression (2x^(3)) / 9 is already in its simplest form.

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Perform the operation and simplify the answer fully.

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

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

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

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

\newline

Answer:

Understand the Problem: Understand the problem. We need to simplify the complex fraction $\frac{\frac{x}{3}}{\frac{3}{2x^{2}}}$ .
Rewrite as Division: Rewrite the complex fraction as a division problem. $\frac{x}{3}$ $\div$ $\frac{3}{2x^{2}}$
Multiply by Reciprocal: Multiply by the reciprocal of the divisor. $\left(\frac{x}{3}\right) \times \left(\frac{2x^{2}}{3}\right)$
Multiply Numerators and Denominators: Multiply the numerators and denominators. $(x \times 2x^{2}) / (3 \times 3)$
Simplify Multiplication: Simplify the multiplication of $x$ terms. $\newline$ $\frac{2x^{3}}{9}$
Check for Further Simplification: Check if further simplification is possible. The expression $(2x^{3}) / 9$ is already in its simplest form.