Tính : P=\(\frac{5.3^{11}+4.3^{12}}{3^9.5^2-3^9.2^3}\)
Tính hợp lý
(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
1
a)tinh nhanh neu co
p=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
q=14.29+71.14+(1+2+3+.....+99).(199199.198-198198.199)
b)chung to 1.2.3.....2013.2015+2.4.6....2014.2016:9911
Thực hiện phép tính bằng cách hợp lí
Q=( 5.3^11+4.3^12) : ( 3^9.5^2 - 3^9 . 2^3 )
.(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)
=(5.3^11+4.3^11.3):[3^9.(5^2-2^3)]
=(5.3^11+12.3^11):[3^9.17]
=3^11.(5+12):(3^9.17)
=(3^11.17):(3^9.17)
=17.(3^11:3^9)
=17.3^2
=17.9
=153
tk nha
bai cua kacura dung nhung 4 dong cuoi la sai to
co khong co kieu phan phoi nhu vay ma phai thay la 3^11:3^9( nhan 17 chia 17 thi khi nao cung nhan duoc ket qua giong nhau)
=3^2=9
tinh nhanh : P = ( 5 . 3^21 +4.3^12):(3^9.5^2-3^9.2^3)
Cho 3 phân số:
\(\frac{-5^2-5.3^2}{5^3+5^2.3^2};\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}};\frac{2929-101}{2.1919+404}\)
Rút gọn rồi quy đòng 3 ps trên
Tính giá trị biểu thức sau:
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\).
2/ \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
3/ \(\frac{2^{12}.13+2^{12}.65}{2^{10}.104}+\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
4/ \(\frac{5.4^{15}-9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
5/ \(\frac{13.4^6.\left(28\frac{7}{13}-27\frac{5}{18}\right)}{59.2^{12}\left(\frac{5}{14}+\frac{5}{84}+\frac{5}{204}+\frac{5}{374}\right)}\)
Tặng người giải mỗi ngày ba điểm hđ :)
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(=\frac{5^{20}.3^{29}-3^{31}.5^{18}}{7.3^{29}.5^{18}-3^{29}.5^{19}}=\frac{3^{29}.5^{18}.\left(25-9\right)}{3^{29}.5^{18}.\left(7-5\right)}=\frac{16}{2}=8\)
CÁC BÀI CÒN LẠI TƯƠNG TỰ HẾT NHÉ E
(5.311 + 4.312):(39.52-39 .23)
=\(\left[3^{11}.\left(5+4.3\right)\right]:\left[3^9.\left(5^2-2^3\right)\right]\)
=\(\left[3^{11}.17\right]:\left[3^9.17\right]=\left(3^{11}:3^9\right).17=9.17=153\)
\(\frac{5.3^{11}+4.3^{12}}{3^9.5^2-3^9.2^3}\)
\(=\frac{5.3^{11}+4.3.^{11}}{3^9.\left(5^2-2^3\right)}\)
\(=\frac{5.3^{11}+12.3^{11}}{3^9.\left(25-8\right)}\)
\(=\frac{3^{11}.\left(5+4\right)}{3^9.17}\)
\(=\frac{3^{11}.9}{3^9.17}\)
\(=\frac{3^9.3^2.9}{3^9.17}\)
\(=\frac{3^2.9}{17}\)
\(=\frac{9.9}{17}=\frac{81}{17}\)
Mình chuyển về phân số nhé. k mình nhé
( tự suy nghĩ đề )
\(M=\frac{9^4.27^5.3^6.3^4}{3^8.81^4.234.8^2}\)
\(N=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(M=\frac{9^4.27^5.3^6.3^4}{3^8.81^4.234.8^2}=\frac{\left(3^2\right)^4.\left(3^3\right)^5.3^6.3^4}{3^8.\left(3^4\right)^4.3^5.\left(2^3\right)^2}\)
\(M=\frac{3^8.3^{15}.3^6.3^4}{3^{18}.3^{16}.3^5.2^6}=\frac{81}{64}\)
\(N=\frac{4^6.9^5.6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(N=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2.6}{3.5}\)
\(N=\frac{4}{5}\)
P= ( 5.311 + 4.312 ) : (39 . 52 - 39 . 23 )