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

Write Problem, Identify Operation: Write down the problem and identify the operation to be performed. We need to multiply the two fractions (x)/(5) and (2)/(5x^(2)).Multiply Numerators and Denominators: Multiply the numerators and denominators of the fractions. (x * 2) / (5 * 5x^(2))Simplify Expression: Simplify the expression by multiplying the constants and variables separately. (2x) / (25x^(2))Reduce Fraction: Reduce the fraction by canceling out common factors in the numerator and denominator. Since x is present in both the numerator and the denominator, we can cancel one x from the numerator and one x from the denominator. (2) / (25x)Write Final Expression: Write down the final simplified expression. The simplified expression is (2) / (25x).

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Perform the operation and simplify the answer fully.

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

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

\newline

Answer:

Write Problem, Identify Operation: Write down the problem and identify the operation to be performed. $\newline$ We need to multiply the two fractions $(x)/(5)$ and $(2)/(5x^{2})$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators of the fractions. $(x \times 2) / (5 \times 5x^{2})$
Simplify Expression: Simplify the expression by multiplying the constants and variables separately. $\frac{2x}{25x^{2}}$
Reduce Fraction: Reduce the fraction by canceling out common factors in the numerator and denominator. $\newline$ Since $x$ is present in both the numerator and the denominator, we can cancel one $x$ from the numerator and one $x$ from the denominator. $\newline$ $\frac{2}{25x}$
Write Final Expression: Write down the final simplified expression. $\newline$ The simplified expression is $(2) / (25x)$ .