15848.9319246 * 10^4.2 = ?

You could honestly use the calculator for this:) http://web2.0calc.com/

$${\mathtt{15\,848.931\: \!924\: \!6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{4.2}}} = {\mathtt{251\,188\,643.150\: \!781\: \!535\: \!596\: \!498\: \!5}}$$

15848.9319246 * 10^4.2 = ?

$$\boxed{15848.9319246 \approx 10^{4.2} }\\ 15848.9319246 * 10^{4.2} \approx 10^{4.2} *10^{4.2}=10^{4.2+4.2}=10^{8.4}$$

15848.9319246 * 10^4.2 $$\approx$$ 10^8.4 = 251188643.151

Now I am curious

$${{\mathtt{10}}}^{{\mathtt{4.2}}} = {\mathtt{15\,848.931\: \!924\: \!611\: \!134\: \!852}}$$

My goodness Heureka,  what make you think of that ? ??

Hi Melody,

$$\\15848.9319246 * 10^{4.2} = 15848.9319246 * 10^{4+0.2}\\ = 15848.9319246 * 10^4*10^{0.2} \quad | \quad 10^{0.2} \approx 1.58489319246\\ = 15848.9319246 * 10^4*1.58489319246\\ \Rightarrow =10^{0.2}*10^4* 10^4*10^{0.2}\\ =10^{8.4}$$

Thanks Heureka,

Yes I know that it is true.   

I just don't understand why you even thought of it?   

I mean did something stand out to you that I am not seeing?  

It seems to have been a strange thing to have thought of.  

Until a few years ago, the German language was a prerequisite for engineering or mathematics.

Heureka gave a good example here (and many other places on this forum) of why this was –and should still be.

Thank you anonymous but that does not leave me any the wiser. 

Use the calculator too.

Answer: 251,188,643.1507815355964985 is the answer.