Question

Try the following example. Remember to use the hints if you need them.Solve for x.2.9×10−7=(x)(x)^2(5.4)/(5.4)^2(3)^2Choose the correct answer.4.7×10−62.4×10−22.4I don’t know. I am unable to obtain any of the answers but I do not want to give up.

Answer 1

`4.17*10^(-4)=x`

Explanation:

Assuming that the expression is:

`2.9* 10^(-7)=x^2((5.4)/(5.4^2))3^2`

Solving for x we have:

`2.9* 10^(-7)=x^2((1)/(5.4))9`

`2.9* 10^(-7)=x^2((9)/(5.4))`

`2.9* 10^(-7)((5.4)/(9))=x^2`

`((15.66* 10^(-7))/(9))=x^2`

`1.74* 10^(-7)=x^2` then we have two possible solutions one positive and the other one negative.

`\pm\sqrt{1.74* 10^(-7)}=x`

The options are just positive then we will consider only the positive solution

`\sqrt{1.74* 10^(-7)}=x`

`0.000417133=x`

Now using scientific notation:

`4.17*10^(-4)=x`