Question

What is the product written in scientific notation? (6.2*10^-8)(5*10^-2)

Answer 1

`(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)}`