Question

what is $( \frac{78}{142} ^{9} )^{2} \times 9 \sqrt{5.2}$ help!!!! For now I just get that on the picture.

Answer 1

The given expression is

$\frac{9\cdot39^{18}\cdot\sqrt{130}}{5\cdot71^{18}}$

First, we solve the powers and the root

$\frac{9\cdot4.3\times10^{10}\cdot11.4}{5\cdot2.1\times10^{33}}$

We solve the products on each side of the fraction

$\frac{441.18\times10^{10}}{10.5\times10^{33}}$

Now, we divide whole numbers each other and powers each other

$\begin{gathered} 42\times10^{10-33} \\ 42\times10^{-23} \end{gathered}$

Therefore, the answer is 42x10 to the -23th power, approximately.