Question

1 tính :

a)\(\frac{2^{11}\times9^2}{3^5\times16^2}\);  b)   \(\frac{9^3\times27^2}{6^2\times3^{10}}\);   c)  \(\frac{27^{15}\times5^3\times8^4}{25^2\times81^{11}\times2^{11}}\)

Answer 1

a) \(\frac{2^{11}.9^2}{3^5.16^2}=\frac{2^{11}.3^4}{3^5.2^8}=\frac{2^3}{3}=\frac{8}{3}\)

Answer 2

a = 8/3

b = 1/4

c = 6/5

Answer 3

bạn có thể ghi phươn pháp làm bài được ko?

Answer 4

\(\frac{9^3.27^2}{6^2.3^{10}}=\frac{3^6.3^6}{2^2.3^2.3^{10}}=\frac{3^{12}}{2^2.3^{12}}=\frac{1}{4}\) 

\(\frac{27^{15}.5^3.8^4}{25^2.81^{11}.2^{11}}=\frac{3^{45}.5^3.2^{12}}{5^4.3^{44}.2^{11}}=\frac{3.2}{5}=\frac{6}{5}\)

Answer 5

\(\frac{2^{11}\times9^2}{3^5\times16^2}\)

\(=\frac{2^{11}.3^4}{3^5.2^6}\)

\(=\frac{2^3}{3}=\frac{8}{3}\)

Answer 6

a. \(\frac{2^{11}.\left(3.3\right)^2}{3^5.\left(2.8\right)^2}\)=\(\frac{2^{11}.3^2.3^2}{3^4.3.2^2.8^2}\)=\(\frac{2^9}{3.\left(2^3\right)^2}\)= \(\frac{2^9}{3.2^6}\)=\(\frac{2^3}{3}=\frac{8}{3}\)

Answer 7

cho tớ hỏi câu c đấy rút gọn\(3^{44}\)và\(2^{11}\) còn\(5^{ }\)dung ko

Answer 8

\(\frac{27^{15}\times5^3\times8^4}{25^2\times81^{11}\times2^{11}}=\frac{\left(3^3\right)^{15}.5^3.\left(2^3\right)^4}{\left(5^2\right)^2.\left(3^4\right)^{11}.2^{11}}=\frac{3^{45}.5^3.2^{12}}{5^4.3^{44}.2^{11}}=\frac{6}{5}\)