Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
418 : 415 - 2 . 24 = 418 - 15 - 21 + 4
= 43 - 25
= 64 - 32
= 32
\(A=18^{15}-\frac{8^5.9^{14}.5}{4^8}.27^{10}-4^7.3^{31}=\left(2.3^2\right)^{15}-\frac{\left(2^3\right)^5.\left(3^2\right)^{14}.5}{\left(2^2\right)^8}.\left(3^3\right)^{10}-\left(2^2\right)^7.3^{31}\)
\(=2^{15}.3^{30}-\frac{2^{15}.3^{28}.5}{2^{16}}.3^{30}-2^{14}.3^{31}\)
\(=2^{15}.3^{30}-\frac{3^{58}.5}{2}-2^{14}.3^{31}\)
\(=2^{14}.3^{30}\left(2-3\right)-\frac{3^{58}.5}{2}=-1.2^{14}.3^{30}-\frac{3^{58}.5}{2}=-1.2^{15}.3^{30}-3^{58}.5\)
\(=3^{30}\left(-1.2^{15}-3^{28}.5\right)\)
a) \(\left[\left(10-2.30.5\right)+2.6\right]:2+\left(4.5\right)^2\)
\(=\left[\left(10-300\right)+2.6\right]:2+20^2\)
\(=\left(-290+2.6\right):2+400\)
\(=\left(-290+12\right):2+400\)
\(=-278:2+400\)
\(=-139+400\)
\(=-\left(139-400\right)\)
\(=-\left(-261\right)\)
\(=261\)
b) \(536.27-9\left(825+219\right):18+15^3:15^2.4^2.3\)
\(=536.27-9.1044:18+15^3:15^2.4^2.3\)
\(=14472-9396:18+15^3:15^2.4^2.3\)
\(=14472-522+15^3:15^2.4^2.3\)
\(=13920+15^{3-2}.4^2.3\)
\(=13920+15.4^2.3\)
\(=13920+15.16.3\)
\(=13920+240.3\)
\(=13920+720\)
\(=14640\)
418 : 415 - 2 . 24 + 52
= 43 - 25 + 25
= 64 - 32 + 25
= 32 + 25
= 57
\(4^{18}:4^{15}-2.2^4+5^2\)
\(=4^3-2^5+25\)
\(=64-32+25\)
\(=32+25\)
\(=57\)