Question

Viết gọn các tích hoặc thương sau dưới dạng mpptj lũy thừa rồi tính

o) (\(\frac{27}{64}\))⁸ : (\(\frac{3}{4}\))²²

^{i) (\(\frac{2}{3}\)})² . (-\(\frac{8}{27}\)) . (-\(\frac{2}{3}\))

Thanks mấy bạn nhiều <3 

Answer 1

a) \(\left(\frac{27}{64}\right)^8:\left(\frac{3}{4}\right)^{22}=\left[\left(\frac{3}{4}\right)^3\right]^8:\left(\frac{3}{4}\right)^{22}=\left(\frac{3}{4}\right)^{24}:\left(\frac{3}{4}\right)^{22}=\left(\frac{3}{4}\right)^2\)

b) \(\left(\frac{2}{3}\right)^2.\left(-\frac{8}{27}\right).\left(-\frac{2}{3}\right)=\left(\frac{2}{3}\right)^2.\left(-\frac{2}{3}\right)^3.\left(-\frac{2}{3}\right)=\left(\frac{2}{3}\right)^2.\left(-\frac{2}{3}\right)^4=\left(\frac{2}{3}\right)^6\)