Question

How do you simplify `\frac { 9\times 10^ { - 9} } { 2.4\times 10^ { 8} }`?

Answer 1

`\frac { 3} { 8} \times 10^ { -16}`

Explanation:

`\frac { 9\times 10^ { - 9} } { 2.4\times 10^ { 8} }`

we know `\frac{1)(a^(-m)) = a^m`

=`\frac { 9\times 10^ { - 9 - 8} } { 2.4}`

=`\frac { 9\times 10^ { - 17} } { 24\times 10^{-1}}`

=`\frac { 3\times 10^ { -17 +1} } { 8}`

=`\frac { 3} { 8} \times 10^ { -16}`