Tính hợp lí : 4^10 . 9^6 + 3^12 . 8^5 / 6^13 . 4 - 2^16 . 3^12
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\(\dfrac{4^{10}.9^6+3^{12}.8^5}{6^{13}.4-2^{16}.3^{12}}\)
\(=\dfrac{\left(2^2\right)^{10}.\left(3^2\right)^6+3^{12}.\left(2^3\right)^5}{\left(2.3\right)^{13}.2^2-2^{16}.3^{12}}\)
\(=\dfrac{2^{20}.3^{12}+3^{12}.2^{15}}{2^{13}.3^{13}.2^2-2^{16}.3^{12}}\)
\(=\dfrac{2^{20}.3^{12}+3^{12}.2^{15}}{2^{15}.3^{13}-2^{16}.3^{12}}\)
\(=\dfrac{2^{15}.3^{12}.\left(2^5+1\right)}{2^{15}.3^{13}.\left(3-2\right)}\)
\(=\dfrac{2^5+1}{3-2}\)
\(=\dfrac{32+1}{1}=33\)
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Bài làm
13 - 12 + 11 + 10 -9 +8 - 7 - 6 + 5 - 4 + 3 +2 -1
= 1 + 11+ 1 + 1 - 6 + 1 + 3 + 1
= 15 - 11
= 4
# Chúc bạn học tốt #
13-12+11+10-9+8-7-6+5-4+3+2-1
=(13-12)+(11-6)+(10-9)+(8-7)+(5-4)+(2-1)+3
=1+5+1+1+1+1+3
=13
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mn vô đây xem thằng Phạm Việt Đức chửi tớ nek
Giúp tôi giải toán - Hỏi đáp, thảo luận về toán học - Học toán với OnlineMath
13-12+11+10-9+8-7-6+5-4+3+2-1
=13-(12+1) -(11+2)-(10+3)-(9+4)-(8+5) +(7+6)
=13-13-13-13-13-13+13
=0-0-0-0-0-0+13
=0+13
=13
![](https://rs.olm.vn/images/avt/0.png?1311)
= ( 13 -12 ) + 11 + ( 10 - 9 ) + ( 8 - 7-6 + 5 ) + ( 3 + 2 - 4 ) -1
= 1 + 11 + 1 + 0 + 1 - 1
= 13 + 0
= 13
13 - 12 + 11 + 10 - 9 + 8 - 7 - 6 + 5 - 4 + 3 + 2 - 1 = 9
![](https://rs.olm.vn/images/avt/0.png?1311)
14 + 13 -12 + 11 + 10 - 9 + 8 - 7 - 6 + 5 - 4 + 3 + 2 - 1 = 27
\(\frac{4^{10}.9^6+3^{12}.8^5}{6^{13}.4-2^{16}.3^{12}}\)
\(=\frac{\left(2^2\right)^{10}.\left(3^2\right)^6+3^{12}.\left(2^3\right)^5}{\left(2.3\right)^{13}.2^2-2^{16}.3^{12}}\)
\(=\frac{2^{20}.3^{12}+3^{12}.2^{15}}{2^{13}.3^{13}.2^2-2^{16}.3^{12}}\)
\(=\frac{2^{20}.3^{12}+3^{12}.2^{15}}{2^{15}.3^{12}.3-3^{12}.2^{16}}\)
\(=\frac{2^4}{3}\)