a) \(\left(\frac{1}{2}\right)^3.\left(\frac{1}{4}\right)^2\)
\(=\frac{1}{8}.\frac{1}{8}\)
\(=\frac{1}{16}\)
b) \(27^3:9^3\)
\(=\left(27:9\right)^3\)
\(=3^3\)
\(=27\)
c) \(125^2:25^3\)
\(=\left(5^3\right)^2:\left(5^2\right)^3\)
\(=5^6:5^6\)
\(=\left(5:5\right)^6\)
\(=1^6\)
\(=1\)
d) \(\frac{27^2.8^5}{6^6.32^3}\)
Phân tích hợp số ra thừa số nguyên tố:
27 = 33, 8 = 23, 6 = 2.3, 32= 25
\(\Rightarrow\frac{\left(3^3\right)^2.\left(2^3\right)^5}{\left(2.3\right)^6.\left(2^5\right)^3}\)
\(\Rightarrow\frac{3^6.2^{15}}{\left(2.3\right)^6.2^{15}}\)
\(\Rightarrow\frac{3^6}{2^6.3^6}\)
\(\Rightarrow\frac{1}{2^6}=\frac{1}{64}\)
a) 1/8.1/16=1/128
b) 3^9: 3^6=3^3=27
c) 5^6: 5^6=1
d) 3^6.2^15/ 2^6.3^6.2^15=1/2^6=1/64
À, phần a mình sai, đáp án như câu trả lời của tam mai ấy :v