Answer:
[tex]4.17\times10^{-4}=x[/tex]
Step-by-step explanation:
Assuming that the expression is:
[tex]2.9\times 10^{-7}=x^2(\frac{5.4}{5.4^2})3^2[/tex]
Solving for x we have:
[tex]2.9\times 10^{-7}=x^2(\frac{1}{5.4})9[/tex]
[tex]2.9\times 10^{-7}=x^2(\frac{9}{5.4})[/tex]
[tex]2.9\times 10^{-7}(\frac{5.4}{9})=x^2[/tex]
[tex](\frac{15.66\times 10^{-7}}{9})=x^2[/tex]
[tex]1.74\times 10^{-7}=x^2[/tex] then we have two possible solutions one positive and the other one negative.
[tex]\pm\sqrt{1.74\times 10^{-7}}=x[/tex]
The options are just positive then we will consider only the positive solution
[tex]\sqrt{1.74\times 10^{-7}}=x[/tex]
[tex]0.000417133=x[/tex]
Now using scientific notation:
[tex]4.17\times10^{-4}=x[/tex]
