Question

Viết các kết quả sau dưới dạng một lũy thừa:

a)125^7:25^4

b) 27^8:9^5

c)4^20:2^30

d)28^n: 2^2n

e)64^5.16^6:4^20

f) 32^4:8^6

Cần gấp mn ơii ;-; . C.MƠN MN TRƯỚC 

Answer 1

a) \(125^7:25^4=\left(5^3\right)^7:\left(5^2\right)^4=5^{21}:5^8=5^{13}\)

b) \(27^8:9^5=\left(3^3\right)^8:\left(3^2\right)^5=3^{24}:3^{10}=3^{14}\)

c) \(4^{20}:2^{30}=\left(2^2\right)^{20}:2^{30}=2^{40}:2^{30}=2^{10}\)

d) \(28^n:2^n=28^n:4^n=7^n\)

e) \(64^5.16^6:4^{20}=2^{30}.2^{24}:2^{10}=2^{54}:2^{40}=2^{14}\)

f)  \(32^4:8^6=2^{20}:2^{18}=2^2\)

Answer 2

\(a.125^7:25^4=5^{21}:5^8=5^{13}\)

\(b.27^8:9^5=3^{24}:3^{10}=3^{14}\)

\(c.4^{20}:2^{30}=2^{40}:2^{30}=2^{10}\)

\(d.28^n:2^{2n}=28^n:4^n=7n\)

\(\hept{\begin{cases}e.64^5.16^6:4^{20}=4^{15}.4^{12}:4^{20}=4^7\\f.32^4:8^6=2^{20}:2^{18}=2^2\end{cases}}\)