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a) \(x^5\cdot x^3\cdot x^2=x^{5+3+2}=x^{10}\)
b) \(\left(0,2\right)^8:0,04=\left(0,2\right)^8:\left(0,2\right)^2=\left(0,2\right)^{8-2}=\left(0,2\right)^6\)
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a)x^5.x^3.x^2=x^5+3+2=x^10
b)0,2^8:0,04=0,2^8:0,2^2=0,2^8-2=0,2^6
a: \(=\dfrac{2^6\cdot3^3}{3^{-4}\cdot2^6}=\dfrac{3^3}{3^{-4}}=3^7\)
c: \(=5^4\cdot5^3\cdot\left(\dfrac{5}{2}\right)^{-5}\cdot\dfrac{4}{100}\)
\(=5^7\cdot\left(\dfrac{2}{5}\right)^5\cdot\left(\dfrac{1}{5}\right)^2\)
\(=5^2\cdot\left(\dfrac{1}{5}\right)^2\cdot5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)
\(27\cdot5^3\cdot3^3\cdot32^{-1}:125=3^3\cdot5^3\cdot3^3\cdot\dfrac{1}{32}:5^3=\dfrac{3^6}{32}=\dfrac{3^6}{2^5}\)
b: \(3^4\cdot3^5:\dfrac{1}{27}==3^9\cdot3^3=3^{12}\)
0,25 = (0,5)2
\(\dfrac{1}{49}\) = (\(\dfrac{1}{7}\))2
- \(\dfrac{27}{125}\) = (- \(\dfrac{3}{5}\))3
\(\dfrac{81}{16}\) = ( \(\dfrac{9}{4}\))2
\(\dfrac{169}{196}\) = (\(\dfrac{13}{14}\))2