Question
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Tutor-Verified Answer
Answer
\[
\frac{9j^2}{16k^4}
\]
Solution
**Paso 1:** Escribimos la expresión elevada al cuadrado:
\[
\left(\frac{3j}{4k^2}\right)^2 = \frac{(3j)^2}{(4k^2)^2}
\]
**Paso 2:** Elevamos el numerador al cuadrado:
\[
(3j)^2 = 9j^2
\]
**Paso 3:** Elevamos el denominador al cuadrado:
\[
(4k^2)^2 = 16k^4
\]
**Paso 4:** Sustituimos los resultados en la fracción:
\[
\frac{(3j)^2}{(4k^2)^2} = \frac{9j^2}{16k^4}
\]
El resultado final es:
\[
\frac{9j^2}{16k^4}
\]
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Simplify this solution Bonus Knowledge
To simplify \( \left(\frac{3 j}{4 k^{2}}\right)^{2} \), we square both the numerator and the denominator. Numerator: \[ (3 j)^{2} = 9 j^{2} \] Denominator: \[ (4 k^{2})^{2} = 16 k^{4} \] Putting it all together: \[ \left(\frac{3 j}{4 k^{2}}\right)^{2} = \frac{9 j^{2}}{16 k^{4}} \] So the simplified form is \( \frac{9 j^{2}}{16 k^{4}} \).
