(8.08×10^-10)÷(4.0×10^-3) in scientific notation?

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asked Jun 7, 2020 165k views

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(8.08×10^-10)÷(4.0×10^-3) in scientific notation?

Mathematics
middle-school

Andrew Brown asked

by Andrew Brown

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1 Answer

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Answer:

$\large\boxed{2.02*10^(-7)}$

Explanation:

The scientific notation:

$a\cdot10^k\\\\1\leq a<10,\ k\in\mathbb{Z}$

We have:

$(8.08*10^(-10))/(4.0*10^(-3))\\\\=(8.08*10^(-10))/(4.0*10^(-3))\\\\=(8.08)/(4)*(10^(-10))/(10^(-3))\qquad\text{use}\ (a^n)/(a^m)=a^(n-m)\\\\=2.02*10^(-10-(-3))\\\\=2.02*10^(-7)$

Jleture answered Jun 13, 2020

by Jleture

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