d) $x=\frac{20^{12} \cdot 8^{4} \cdot 3^{14}}{15^{13} \cdot 2^{36}}$

Q: d) $x=\frac{20^{12} \cdot 8^{4} \cdot 3^{14}}{15^{13} \cdot 2^{36}}$

<p><span class="math-tex">$\begin{array}{l}x=\frac{20^{12} \cdot 8^{4} \cdot 3^{14}}{15^{13} \cdot 2^{36}} \\ =\frac{\left(2^{2} \cdot 5\right)^{12} \cdot\left(2^{3}\right)^{4} \cdot 3^{14}}{(3 \cdot 5)^{13} \cdot 2^{36}} \\ =\frac{2^{24} \cdot 5^{12} \cdot 2^{12} \cdot 3^{14}}{3^{13} \cdot 5^{13} \cdot 2^{36}} \\ =\frac{2^{36} \cdot 5^{12} \cdot 3^{14}}{3^{13} \cdot 5^{13} \cdot 2^{36}}=\frac{3}{5}\end{array}$</span></p>

Question

Accepted Answer

$\begin{array}{l}x=\frac{20^{12} \cdot 8^{4} \cdot 3^{14}}{15^{13} \cdot 2^{36}} \ =\frac{\left(2^{2} \cdot 5\right)^{12} \cdot\left(2^{3}\right)^{4} \cdot 3^{14}}{(3 \cdot 5)^{13} \cdot 2^{36}} \ =\frac{2^{24} \cdot 5^{12} \cdot 2^{12} \cdot 3^{14}}{3^{13} \cdot 5^{13} \cdot 2^{36}} \ =\frac{2^{36} \cdot 5^{12} \cdot 3^{14}}{3^{13} \cdot 5^{13} \cdot 2^{36}}=\frac{3}{5}\end{array}$

Đề thi cuối kì 1 (CT) 19-20 - Q. Tân Phú - TP. Hồ Chí Minh - MĐ 6770