Perform the operation and simplify the answer fully. (3)/(10x^(2))*(x^(3))/(3) Answer:

Identify Operation: Identify the operation to be performed. We need to multiply two fractions: (3)/(10x^(2)) and (x^(3))/(3).Multiply Numerators and Denominators: Multiply the numerators and denominators. When multiplying fractions, we multiply the numerators together and the denominators together. (3 * x^(3)) / (10x^(2) * 3)Simplify Expression: Simplify the expression by canceling out common factors. The number 3 in the numerator and denominator can be canceled out, and x^(2) in the denominator can be canceled with two of the x's in x^(3) in the numerator. (1 * x^(3-2)) / (10 * 1)Perform Subtraction and Simplify: Perform the subtraction in the exponent and simplify the fraction. x^(3-2) simplifies to x^(1), which is just x. The fraction simplifies to 1/10. (x) / (10)Write Final Result: Write the final simplified result. The final simplified result is x/10.

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Perform the operation and simplify the answer fully.

(3)/(10x^(2))*(x^(3))/(3)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{3}{10 x^{2}} \cdot \frac{x^{3}}{3}$ $\newline$ 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{3}{10 x^{2}} \cdot \frac{x^{3}}{3}

\newline

Answer:

Identify Operation: Identify the operation to be performed. $\newline$ We need to multiply two fractions: $(\frac{3}{10x^{2}})$ and $(\frac{x^{3}}{3})$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ When multiplying fractions, we multiply the numerators together and the denominators together. $\newline$ $\frac{3 \times x^{3}}{10x^{2} \times 3}$
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ The number $3$ in the numerator and denominator can be canceled out, and $x^{2}$ in the denominator can be canceled with two of the $x$ 's in $x^{3}$ in the numerator. $\newline$ $\frac{1 \times x^{3-2}}{10 \times 1}$
Perform Subtraction and Simplify: Perform the subtraction in the exponent and simplify the fraction. $\newline$ $x^{(3-2)}$ simplifies to $x^{1}$ , which is just $x$ . The fraction simplifies to $\frac{1}{10}$ . $\newline$ $\frac{x}{10}$
Write Final Result: Write the final simplified result. $\newline$ The final simplified result is $\frac{x}{10}$ .