Question

[Nguyễn Bùi Gia Khánh]

Viết kết quả phép tính sau dưới dạng lũy thừa.                        

a) \(\left(\dfrac{1}{4}\right)^3\). \(\left(\dfrac{1}{8}\right)^2\)

b) \(4^2\).32: \(2^3\)

c) 25. \(5^3\). \(\dfrac{1}{625}\). \(5^3\)

d) \(5^6\). \(\dfrac{1}{20}\). \(2^2\). \(3^3\): 125

Answer 1

[Võ Thành Nhân]

a) \(\left(\dfrac{1}{4}\right)^3.\left(\dfrac{1}{8}\right)^2=\left(\dfrac{1}{2}\right)^6.\left(\dfrac{1}{2}\right)^6=\left(\dfrac{1}{2}\right)^{12}\)

b) \(4^2.32:2^3=2^4.4.8:2^3=2^4.2^2.2^3:2^3=2^6\)

c) \(5^2.5^3.\dfrac{1}{5^4}.5^3\)\(=5^5.\dfrac{1}{5^4}.5^3=\dfrac{5^5}{5^4}.5^3=5.5^3=5^4\)

d) \(5^6.\dfrac{1}{20}.2^2.3^3:125=5^6.\dfrac{1}{5}.\dfrac{1}{4}.2^2.3^3:5^3\)\(=\dfrac{5^6}{5}.\dfrac{2^2}{4}.3^3:5^3=5^5.3^3:5^3=5^2.3^3\)