Câu hỏi của Nguyễn Thị Yến Nhi

Question

Tính:

a) 72^3 * 54^2

108⁴

b) 3^10 * 11+ 3^10 * 5

3^{9 *}2⁴

Phạm Tuấn Đạt · Accepted Answer

$\frac{72^3.54^2}{108^4}=\frac{\left(3^2.2^3\right)^3.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}$

$=\frac{3^6.2^9.3^3.2^2}{3^{12}.2^8}=\frac{3^9.2^{11}}{3^{12}.2^8}$

$=\frac{2^3}{3^3}=\frac{8}{27}$

Câu trả lời:

$\frac{72^3.54^2}{108^4}=\frac{\left(3^2.2^3\right)^3.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}$

$=\frac{3^6.2^9.3^3.2^2}{3^{12}.2^8}=\frac{3^9.2^{11}}{3^{12}.2^8}$

$=\frac{2^3}{3^3}=\frac{8}{27}$