Perform the operation and simplify the answer fully. (1)/(2x^(2))*(5x^(2))/(7) Answer:

Multiply Fractions: Multiply the numerators and denominators separately. We have two fractions to multiply: (1)/(2x^(2)) and (5x^(2))/(7). When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Calculation: (1 * 5x^(2)) / (2x^(2) * 7)Simplify Expression: Simplify the expression by canceling out common factors. In the numerator, we have 1 * 5x^(2), which simplifies to 5x^(2). In the denominator, we have 2x^(2) * 7, which simplifies to 14x^(2). Since x^(2) is a common factor in both the numerator and the denominator, we can cancel it out. Calculation: (5x^(2)) / (14x^(2)) = 5/14 (after canceling x^(2))Write Final Answer: Write the final simplified answer. After canceling out the common x^(2) term, we are left with 5/14. Final Answer: 5/14

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Perform the operation and simplify the answer fully.

(1)/(2x^(2))*(5x^(2))/(7)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{1}{2 x^{2}} \cdot \frac{5 x^{2}}{7}$ $\newline$ 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{1}{2 x^{2}} \cdot \frac{5 x^{2}}{7}

\newline

Answer:

Multiply Fractions: Multiply the numerators and denominators separately. $\newline$ We have two fractions to multiply: $(\frac{1}{2x^{2}})$ and $(\frac{5x^{2}}{7})$ . When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ Calculation: $(\frac{1 \times 5x^{2}}{2x^{2} \times 7})$
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ In the numerator, we have $1 \times 5x^{2}$ , which simplifies to $5x^{2}$ . In the denominator, we have $2x^{2} \times 7$ , which simplifies to $14x^{2}$ . Since $x^{2}$ is a common factor in both the numerator and the denominator, we can cancel it out. $\newline$ Calculation: $(5x^{2}) / (14x^{2}) = 5/14$ (after canceling $x^{2}$ )
Write Final Answer: Write the final simplified answer. $\newline$ After canceling out the common $x^{2}$ term, we are left with $\frac{5}{14}$ . $\newline$ Final Answer: $\frac{5}{14}$