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a) \(\frac{1}{81}\times\left(\frac{1}{3}\right)^{-2}\times9\times3^3\)
\(=\frac{3^7}{3^4}\)
\(=3^3\)
b) \(\left(2^5\times4\right)\div\left(2^3\times\frac{1}{16}\right)\)
\(=2^7\div\frac{2^3}{2^{\text{4}}}\)
\(=2^7\div\frac{1}{2}\)
=\(2^6\)
a: \(=3^2\cdot3^3\cdot3^{-4}\cdot3^2=3^{2+3-4+2}=3^3\)
b: \(=2^2\cdot2^5:\left(2^3\cdot\dfrac{1}{2^4}\right)=2^7:\dfrac{1}{2}=2^8\)
c: \(=9\cdot32\cdot\dfrac{4}{9}=128=2^7\)
d: \(=\dfrac{1}{27}\cdot3^4=3^1\)
a) \(9\cdot3^3\cdot\frac{1}{81}\cdot3^2\)
\(=\frac{3^2\cdot3^3\cdot3^2}{3^4}\)
\(=3^3=27\)
b) \(4\cdot2^5:\left(2^3\cdot\frac{1}{16}\right)\)
\(=\frac{2^2\cdot2^2\cdot2^4}{2^3}\)
\(=2^5=32\)
c) \(3^2\cdot2^5\cdot\left(\frac{2}{3}\right)^2\)
\(=\frac{3^2\cdot2^5\cdot2^4}{3^2}\)
\(=2^9=512\)
d) \(\left(\frac{1}{3}\right)^2\cdot\frac{1}{3}\cdot9^2\)
\(=\frac{1^2\cdot1\cdot3^4}{3^2}\)
\(=3^2=9\)
a, 31
b,28 hoặc (-2)8
c,27 hoặc (-2)7
d,31
a)\(=9.\frac{3.3^2}{81}=3^2.\frac{81}{81}=3^2\)
c) \(=3^2.2^5.\frac{2^2}{3^2}=2^5.\frac{4.3^2}{9}=2^5.4=2^5.2^2=2^7\)
b) \(=2^2.2^5:\left(\frac{8}{16}\right)=2^7:\frac{1}{2}=\frac{2^7.2}{1}=2^8\)
d) \(=\frac{1^2}{3^2}\times\frac{1}{3}\times9^2=\frac{1}{9}\times\frac{1}{3}\times9^2=\frac{9^2}{27}=\frac{3^4}{3^3}=3^1\)