Bài 1:
a, \(\left(3x-1\right)^3=27=3^3\)
\(\Rightarrow3x-1=3\Rightarrow3x=4\Rightarrow x=\dfrac{4}{3}\)
b, \(2^{x-2}=16=2^{4^{ }}\)
\(\Rightarrow x-2=4\Rightarrow x=6\)
c, \(3^x=9.27=3^2.3^3=3^5\)
\(\Rightarrow x=5\)
d, \(15x-899:29=194\)
\(15x-31=194\Rightarrow15x=225\Rightarrow x=15\)
Bài 2:
a, \(5^2.3^2-32:2^{2^{ }}\)\(=15^2-2^5:2^2=225-8=217\)
b, \(19.37+63.19-400\)\(=19.\left(37+63\right)-400=19.100-100.4=100.\left(19-4\right)\)
\(=100.15=1500\)
c, 205-\(\left\{102-\left[48-\left(16-14\right)^{ }3\right]\right\}\)\(=205-\left\{102-\left[48-2^3\right]\right\}=205-\left(102-40\right)\)
\(=205-62=143\)
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