Perform the operation and simplify the answer fully. ((5x^(2))/(4))/((7)/(10x^(2))) Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single division problem by multiplying by the reciprocal of the denominator. The expression ((5x^(2))/(4))/((7)/(10x^(2))) can be rewritten as ((5x^(2))/(4)) * ((10x^(2))/(7)).Rewrite as Single Division: Simplify the expression by multiplying the numerators and the denominators. (5x^(2) * 10x^(2)) / (4 * 7) = (50x^(4)) / (28).Simplify by Multiplying: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (50x^(4)) / (28) = (25x^(4)) / (14).Reduce Fraction: Check the final expression for any further simplification. The expression (25x^(4)) / (14) is already in its simplest form, as 25 and 14 have no common factors other than 1, and the variable part x^(4) cannot be simplified further.

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Q. Perform the operation and simplify the answer fully.

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\frac{\frac{5 x^{2}}{4}}{\frac{7}{10 x^{2}}}

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Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single division problem by multiplying by the reciprocal of the denominator. $\newline$ The expression $\frac{5x^{2}}{4}$ / $\frac{7}{10x^{2}}$ can be rewritten as $\frac{5x^{2}}{4}$ * $\frac{10x^{2}}{7}$ .
Rewrite as Single Division: Simplify the expression by multiplying the numerators and the denominators. $\newline$ $(5x^{2} \times 10x^{2}) / (4 \times 7) = (50x^{4}) / (28)$ .
Simplify by Multiplying: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\frac{50x^{4}}{28}$ = $\frac{25x^{4}}{14}$ .
Reduce Fraction: Check the final expression for any further simplification. The expression $(25x^{4}) / (14)$ is already in its simplest form, as $25$ and $14$ have no common factors other than $1$ , and the variable part $x^{4}$ cannot be simplified further.