What is ( (78)/(142) ^(9) )^(2) * 9 √(5.2) help!!!! For now I just get that on the picture.

Question

what is
`( (78)/(142) ^(9) )^(2) * 9 √(5.2)` help!!!! For now I just get that on the picture.

Answer 1

The given expression is

`(9\cdot39^(18)\cdot√(130))/(5\cdot71^(18))`

First, we solve the powers and the root

`(9\cdot4.3*10^(10)\cdot11.4)/(5\cdot2.1*10^(33))`

We solve the products on each side of the fraction

`(441.18*10^(10))/(10.5*10^(33))`

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

`\begin{gathered} 42*10^(10-33) \\ 42*10^(-23) \end{gathered}`

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