\(\frac{2^{12}\cdot3^5-\left(2^2\right)^6.3^5.3}{2^{12}.\left(3^2\right)^3+\left(2^3\right)^4.3^5}\)

=\(\frac{2^{12}\cdot3^5-2^{12}.3^5.3}{2^{12}.3^5+2^{12}.3^5}\)

=3

\(\frac{27^6.81^8.3^9}{3^7.3^6.3^{15}}=\frac{\left(3^3\right)^6.\left(3^4\right)^8.3^9}{3^7.3^6.3^{15}}=\frac{3^{18}.3^{32}.3^9}{3^7.3^6.3^{15}}\)

= \(\frac{3^{59}}{3^{28}}=3^{59}:3^{28}=3^{31}\)

Bài làm:

Ta có: \(\frac{9^2.\left(-4\right)^5.72}{5.\left(-6\right)^6}\cdot\frac{6^3.81.\left(-4\right)}{\left(-8\right)^6.3^9}\)

\(=\frac{3^2.-2^{10}.2^3.3^2.2^3.3^3.3^4.-2^2}{5.2^3.3^3.2^{18}.3^9}\)

\(=\frac{2^{18}.3^{11}}{2^{21}.3^{12}.5}\)

\(=\frac{1}{2^3.2.5}=\frac{1}{120}\)

\(\frac{25^5.2^{10}}{20^4.5^4}\)

=\(\frac{25^5.2^{10}}{20^4.25^2}\)

=\(\frac{25^3.2^{10}}{20^4}\)

=\(\frac{25^3.1024}{160000}\)

=\(\frac{25^3.4}{25^2}\)

=\(25.4\)

=100

\(M=\frac{\left(3^2\right)^4.\left(3^3\right)^5.3^6.3^4}{3^8.\left(3^4\right)^4.3^5.\left(2^3\right)^2}=\frac{3^8.3^{15}.3^6.3^4}{3^8.3^{16}.3^5.2^6}=\frac{3^{29}.3^4}{3^{29}.2^6}=\frac{1.81}{1.64}=\frac{81}{64}\)

\(M=\frac{9^4.27^5.3^6.3^4}{3^8.81^4.243.8^2}\)

\(M=\frac{\left(3^2\right)^4.\left(3^3\right)^5.3^6.3^4}{3^8.\left(3^4\right)^4.\left(3^5\right).\left(2^3\right)}\)

\(M=\frac{3^8.3^{15}.3^6.3^4}{3^8.3^{16}.3^5.8}\)

\(M=\frac{3^{33}}{3^{29}.8}\)

\(M=\frac{3^4}{1.8}\)

\(M=\frac{81}{8}\)

Chúc bạn học tốt !!! 

Sửa hộ mk : 

\(8^2=2^9\)

Kết quả : \(\frac{81}{512}\)

gọi A = 2²⁴.3⁹.6²=2²⁴.3⁹.2².3²=2²⁶.3¹¹

      B = 2².12¹¹15 - 16⁶.3¹² = 2².2²².3¹¹.3.5 - 2⁴⁸.3¹² = 2⁴⁴.3¹².5 - 2⁴⁸.3¹² = (2⁴⁴.3¹²)(5 - 2⁴)

=>\(\frac{A}{B}\)= \(\frac{2^{26}.3^{11}}{\left(2^{44}.3^{12}\right)\left(5-2^4\right)}\)= \(\frac{1.\left(2^{26}.3^{11}\right)}{\left(2^{18}.3\right).\left(2^{26}.3^{11}\right).\left(-11\right)}\)= \(\frac{1}{\left(2^{18}.3\right).\left(-11\right)}\)

nhớ k cho mik nha

\(m=\dfrac{2^7\cdot3^5+2^4\cdot3^9}{2^6\cdot3^5+2^3\cdot3^9}\)

\(m=\dfrac{2^4\cdot3^5\cdot\left(2^3+3^4\right)}{2^3\cdot3^5\cdot\left(2^3+3^4\right)}\)

\(m=\dfrac{2^4\cdot3^5}{2^3\cdot3^5}\)

\(m=\dfrac{2^4}{2^3}\)

\(m=2^{4-3}\)

\(m=2\)

Câu 1 xem kỉ đề

\(B,\frac{49^6.5-7^{11}}{\left(-7\right)^{10}.5-2.49^5}=\frac{7^{12}.5-7^{11}}{7^{10}.5-2.7^{10}}=\frac{7^{11}.\left(7.5-1\right)}{7^{10}.\left(5-2\right)}=\frac{7.34}{3}=\frac{238}{3}\)

a) A=2¹².3⁵-\(\frac{2^{12}.3^6}{2^{12}}\)+9³+8⁴.3⁵

=2¹².3⁵-3⁶+3⁶+2¹².3⁵

=2¹³.3⁵

^b)B=49⁶.5-5.\(\frac{7^{11}}{\left(-7\right)^{10}}-2.49^5\)

=49⁶.5-7.5-2.49⁵

⁼7¹².5-7.5-2.7¹⁰

có kq ch bn ?

11/4 giờ = bao nhiêu phút

lop6 đi mà học