Soal 2 ( eksponen)

Bentuk sederhana dari \( \left( \frac{x^3 y^5 z^{-3}}{x^{-2} y^{-1} z^4} \right)^2 \) adalah ....

• A. \( \frac{x^{10} y^{12}}{z^{14}} \)
• B. \( \frac{x^8 y^{11}}{z^{10}} \)
• C. \( \frac{x^6 y^{10}}{z^6} \)
• D. \( \frac{z^{14}}{x^{10} y^{12}} \)
• E. \( \frac{z^8}{x^6 y^{10}} \)

Pembahasan

\( \left( \frac{x^3 y^5 z^{-3}}{x^{-2} y^{-1} z^4} \right)^2 = \left( \frac{x^5 y^6}{z^7} \right)^2 \)
\( \quad \quad \quad \quad \quad \quad = \frac{x^{10} y^{12}}{z^{14}} \)

Jawaban: A