Câu hỏi của Linh Nguyễn

Question

Tính giá trị biểu thức

$\frac{45}{19}-\left(\frac{1}{2}+\left(\frac{1}{4}\right)^{-1}\right)^{-1}^{-1}$

Ngọc Vĩ · Accepted Answer

$\frac{45}{19}-\left(\frac{1}{2}+\left(\frac{1}{4}\right)^{-1}\right)^{1-1}$

$=\frac{45}{19}-\left(\frac{1}{2}+4\right)^{-2}$

$=\frac{45}{19}-\left(\frac{9}{2}\right)^{-2}$

$=\frac{45}{19}-\frac{4}{81}=\frac{3569}{1539}$

Câu trả lời:

$\frac{45}{19}-\left(\frac{1}{2}+\left(\frac{1}{4}\right)^{-1}\right)^{1-1}$

$=\frac{45}{19}-\left(\frac{1}{2}+4\right)^{-2}$

$=\frac{45}{19}-\left(\frac{9}{2}\right)^{-2}$

$=\frac{45}{19}-\frac{4}{81}=\frac{3569}{1539}$