Perform the operation and simplify the answer fully. ((9)/(7x^(2)))/((5x^(3))/(2)) Answer:

Identify Given Expression: Identify the given expression and rewrite it as a single division problem by multiplying by the reciprocal of the divisor. The expression ((9)/(7x^(2)))/((5x^(3))/(2)) can be rewritten as (9/7x^2) * (2/5x^3).Simplify by Multiplying: Simplify the expression by multiplying the numerators and denominators. (9 * 2) / (7x^2 * 5x^3) = 18 / (35x^5).Combine X Terms: Combine the x terms in the denominator by adding the exponents. Since x^2 * x^3 = x^(2+3), we have 18 / (35x^5).Check for Further Simplification: Check if the expression can be simplified further. The numbers 18 and 35 do not have common factors other than 1, and the x terms are already combined, so the expression is fully simplified.

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Q. Perform the operation and simplify the answer fully.

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\frac{\frac{9}{7 x^{2}}}{\frac{5 x^{3}}{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 divisor. $\newline$ The expression $\left(\frac{9}{7x^{2}}\right)/\left(\frac{5x^{3}}{2}\right)$ can be rewritten as $\left(\frac{9}{7x^2}\right) \cdot \left(\frac{2}{5x^3}\right)$ .
Simplify by Multiplying: Simplify the expression by multiplying the numerators and denominators. $\newline$ $(9 \times 2) / (7x^2 \times 5x^3) = 18 / (35x^5)$ .
Combine X Terms: Combine the $x$ terms in the denominator by adding the exponents. $\newline$ Since $x^2 \times x^3 = x^{(2+3)}$ , we have $\frac{18}{35x^5}$ .
Check for Further Simplification: Check if the expression can be simplified further. The numbers $18$ and $35$ do not have common factors other than $1$ , and the $x$ terms are already combined, so the expression is fully simplified.