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

Answer:

$4.17\times10^{-4}=x$

Step-by-step explanation:

Assuming that the expression is:

$2.9\times 10^{-7}=x^2(\frac{5.4}{5.4^2})3^2$

Solving for x we have:

$2.9\times 10^{-7}=x^2(\frac{1}{5.4})9$

$2.9\times 10^{-7}=x^2(\frac{9}{5.4})$

$2.9\times 10^{-7}(\frac{5.4}{9})=x^2$

$(\frac{15.66\times 10^{-7}}{9})=x^2$

$1.74\times 10^{-7}=x^2$ then we have two possible solutions one positive and the other one negative.

$\pm\sqrt{1.74\times 10^{-7}}=x$

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

$\sqrt{1.74\times 10^{-7}}=x$

$0.000417133=x$

Now using scientific notation:

$4.17\times10^{-4}=x$