\(B=\frac{2^6.3^5-9^2.4^3}{4^3.9^3-3^4.8^2}\)

Đúng ko bn

Mk nghĩ nó phải là 3⁶

\(a.\dfrac{3^{27}}{9^6.3^{16}}=\dfrac{3^{27}}{3^{12}.3^{16}}=\dfrac{3^{27}}{3^{28}}=\dfrac{1}{3}\)

\(\left(x-\dfrac{5}{2}\right)^2=\dfrac{9}{4}\\ \Rightarrow x-\dfrac{5}{2}=\pm\dfrac{3}{2}\)

\(TH1:x-\dfrac{5}{2}=\dfrac{3}{2}\Rightarrow x=\dfrac{3}{2}+\dfrac{5}{2}=\dfrac{8}{2}=4\)

\(TH2:x-\dfrac{5}{2}=-\dfrac{3}{2}\Rightarrow x=-\dfrac{3}{2}+\dfrac{5}{2}=\dfrac{2}{2}=1\)

a: \(=\dfrac{3^{27}}{3^{12}\cdot3^{16}}=\dfrac{1}{3}\)

\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}+\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{12}}\)

\(=\frac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{2^{12}.3^6+\left(2^3\right)^4.3^5}-\frac{\left(2^4\right)^3.3^{10}+2^3.3.5.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{12}}\)

\(=\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6-2^{12}.3^5}-\frac{2^{12}.3^{10}-2^3.3.5.2^9.3^9}{2^{12}.3^{12}+2^{12}.3^{12}}\)

\(=\frac{2^{12}.\left(3^5-3^4\right)}{2^{12}.\left(3^6-3^5\right)}-\frac{2^{12}.3^{10}-2^{12}.3^{10}.5}{2^{12}.3^{12}+2^{12}.3^{12}}\)

\(=\frac{3^5-3^4}{3^6-3^5}-\frac{2^{12}.3^{10}.\left(1-5\right)}{2^{13}.3^{12}}\)

\(=\frac{162}{486}-\frac{2^{12}.3^{10}.\left(-4\right)}{2^{13}.3^{10}.3^2}=\frac{1}{3}-\frac{2^{14}.3^{10}.\left(-1\right)}{2^{13}.3^{10}.9}\)

\(=\frac{1}{3}-\frac{2.1.\left(-1\right)}{1.1.9}=\frac{1}{3}-\frac{2}{9}=\frac{1}{9}\)

ai zúp vsss

bài này tui làm rùi

Mình làm luôn

a,A\(=\left(\frac{1313}{1414}-\frac{130}{140}\right)+\left(\frac{1515}{1616}+\frac{10}{160}\right)\)

\(=0+1\)

=1

b,Rút gọn p/s giống nhau ở tử và mẫu :2⁶ với 8², 9² với 9², 3⁵ với 3⁴ thì còn3

  Sau khi rút gọn rồi thì ta còn p/s:\(\frac{1.3-1.1}{1.1.1.1}=3\)

Câu 2 mình chịu

eo ôi t làm rồi mà bị xoá :v thôi  t hướng dẫn :v

Tạc TS và MS ra rồi gộp và triệt tiêu :) nếu k lm đc ibx t làm cho :)

Ta có:

\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}+\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{12}}\)

\(A=\frac{2^{12}.3^5-\left(2^2\right)^6.9^2}{12^6+8^4.3^5}+\frac{16^3.3^9.3+120.3^9.2^9}{4^6.\left(3^2\right)^6+6^{12}}\)

\(A=\frac{2^{12}.3^5-2^{12}.9^2}{3^6.4^6+8^4.3^5}+\frac{3^9.\left[16^3.3+120.2^9\right]}{4^6.3^{12}+3^{12}.2^{12}}\)

\(A=\frac{2^{12}.162}{3^5.3.4^6+3^5.8^4}+\frac{3^9.73728}{3^{12}.\left(4^6+2^{12}\right)}\)

\(A=\frac{2^{12}.162}{3^5.\left(3.4^6+8^4\right)}+\frac{3^9.73728}{3^{12}.8192}\)

         Đến đây bn tự làm nha hoa mắt lắm ròi

=\(\frac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6.3^3}+\frac{\left(2^3\right)^2\cdot\left(2^2\right)^5}{2^{20}}\)

=\(\frac{2^9}{3}+\frac{1}{2^4}\)

=\(\frac{512}{3}+\frac{1}{16}=\frac{8192}{48}+\frac{3}{48}=\frac{8195}{48}\)

Bạn nào biết chỉ mk với. Mk sẽ đãi hậu hĩnh luôn.

\(a,\frac{3^7.5^4}{25^2}=\frac{3^7.5^4}{\left(5^2\right)^2}=\frac{3^7.5^4}{5^4}=3^7\)

Ủa, bạn " Thám tử lừng danh conan " ơi? Sao chỉ có mỗi câu a thế???

3⁹.2^10₌3⁹.2⁹.2=6⁹.2=6⁸.12 (rút gọn vs mẫu số)
tương tự vs các phân số trong ngoặc

Cau a la ban hay tinh trong dau ngoac don truoc sau do lam nhoac vuong va lam dau ngoac nhon va tinh cac phep tinh con lai

a:100;b:300;c:200;d:3;e:13

e)

=[(25-4.3)+(9.4+16)}:5

=[(25-12)+(36+1)]:5

=[13+52]:5

=65:5

=13

d)

=177:[2.(16-9)+9.5]

=177:[2.7+45]

=177:[14+45]

=177:59

=3

c)

=205-[1200-(16-6)³]:40

=205-[1200-10³]:40

=205-[1200-1000]:40

=205-200:40

=205-5

=200

b)

=307-[20:4+9]:2

=307-[5+9]:2

=307-14:2

=307-7

=300

a)

=107-{38+[7.9-4+2³]}:15

=107-{38+[63-4+8]}:15

=107-{38+[59+8]}:15

=107-{38+67]}:15

=107-105:15

=107-7

=100