Question

Enrique is finding 6.63 x 10^-6/5.1 x 10^-2. Circle his mistake and correct it.

Answer 1

Enrique's mistake is
`(6.63* 10^(-6))/(5.1* 10^(-2))`
`=1.3* (10^(-6).10^(-2))`

The corrected step is
`(6.63* 10^(-6))/(5.1* 10^(-2))`
`=1.3* (10^(-6).10^2)`

The simplified given expression is
`1.3* 10^(-4)`

Therefore
`(6.63* 10^(-6))/(5.1* 10^(-2))=1.3* 10^(-4)`

Explanation:

Given expression is
`(6.63* 10^(-6))/(5.1* 10^(-2))`

To find Enrique's mistake and circle his mistake :

`(6.63* 10^(-6))/(5.1* 10^(-2))`

`=((6.63)/(5.1))((10^(-6))/(10^(-2)))`

`=1.3* (10^(-6).10^2)` ( using the property
`a^m=(1)/(a^(-m))` )

`=1.3* 10^(-6+2)` ( using the property
`a^m.a^n=a^(m+n)` )

`=1.3* 10^(-4)`

`(6.63* 10^(-6))/(5.1* 10^(-2))=1.3* 10^(-4)`

Therefore the simplified given expression is
`1.3* 10^(-4)`

Therefore
`(6.63* 10^(-6))/(5.1* 10^(-2))=1.3* 10^(-4)`

Enrique's mistake is
`(6.63* 10^(-6))/(5.1* 10^(-2))`
`=1.3* (10^(-6).10^(-2))`

The corrected step is
`(6.63* 10^(-6))/(5.1* 10^(-2))`
`=1.3* (10^(-6).10^2)`