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IrishFromberg740
IrishFromberg740 IrishFromberg740
  • 26-08-2015
  • Mathematics
Answered

What is the product written in scientific notation? (6.210^-8)(510^-2)

Verified Answer :

Anonymous Anonymous
  • 26-08-2015

\((6.2\cdot10^{-8})(5\cdot10^{-2})\\use:\\commutative\ property:a\cdot b=b\cdot a\\associative\ property:a\cdot(b\cdot c)=(a\cdot b)\cdot c\\\\=(6.2\cdot5)(10^{-8}\cdot10^{-2})\\\\use:a^n\cdot a^m=a^{n+m}\\\\=31\cdot10^{-8+(-2)}=31\cdot10^{-10}\ |it's\ not\ a\ scientific\ notation\\\\3\underbrace{1.}_{\leftarrow 1^+}0\cdot10^{-10}=\huge\boxed{3.1\cdot10^{-9}}\)

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