Question

[khanhhuyen6a5]

thực hiện phép tính:

(10^12+5^11*2^9-5^13*2^8):4*5^5*10^6

Answer 1

[Hắc Hường]

Giải:

\(\left(10^{12}+5^{11}.2^9-5^{13}.2^8\right):4.5^5.10^6\)

\(=\left(10^{12}+10^9.5^2-10^8.5^5\right):5^3.10^8\)

\(=10^8\left(10^4+10.5^2-5^5\right):5^3.10^8\)

\(=\dfrac{10^8\left(10^4+10.5^2-5^5\right)}{5^3.10^8}\)

\(=\dfrac{10^4+10.5^2-5^5}{5^3}\)

\(=\dfrac{5^3\left(2^3.10+2-5^2\right)}{5^3}\)

\(=80+2-25=57\)

Vậy ...