Question

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3b39fd0ceb0fdb39999f836bf4167fcb.docx

Answer 1

$1) 10^{-3}=0,001\\ 2)10^{-2}=0,01\\ 3)10^{-9}=0,000000001\\ 4)10^2=100\\ \\ 5)\frac{0,1.0,002.10^{-1}}{10.0,0001}=\frac{10^{-1}.10^{-3}.10^{-1}}{10.10^{-4}}=\frac{10^{-5}}{10^{-3}}=10^{-2}=0,01$
$6)\frac{0,001^4.100^7}{10^5}=\frac{(10^{-4})^4.(10^2)^7}{10^5}=\frac{10^{-16}.10^{14}}{10^5}=\frac{10^-2}{10^5}=10^{-7}\\ \\ 7)\frac{6.10^{-3}.10^{-4}.18^8}{6.10^{-1}.10^{-5}}=\frac{6.10}{6.10^{-6}}=10^{-5}$

Answer 2

$(1)~\to~10^{-3}\\(2)~\to~10^{-2}\\(3)~\to~10^{-9}\\(4)~\to~10^2$



$\boxed{(2)~\to~ \frac{0,1.0,001.10^{-1}}{10.0,0001} ~\to~ \frac{10^{-1}.10^{-3}.10^{-1}}{10.10^{-4}} ~\to~ \frac{10^{-5}}{10^{-3}} ~\to~10^{-2}}$

$\boxed{(1)~\to~ \frac{(0,001)^4.100^7}{10^5}~\to~\frac{(10^{-3})^4.(10^2)^7}{10^5}~\to~ \frac{10^2}{10^5} ~\to~10^{-3}}$

$\boxed{(4)~\to~ \frac{6.10^{-3}.10^{-4}.10^{3}}{6.10^{-1}.10^{-5}} ~\to~ \frac{\not6.10^{-4}}{\not6.10^{-6}} ~\to~10^2}$