grhhrhhtrttrhthr
@Vocaloid Think you can help here? This is the unit I'm currently on, so I can't really help all that much
@cpleasure hi the planck's constant is \[h=6.63 \times 10^{-34}\] just type that into the calculator
any specific calculator?
i think e suppose to be the 10 or is it mathematical symbol `e` ?
which one do you have ? 89 or 86 TI or mayb 36x
or you can use wolframalpha i can show you how it needs to be type
yeah i can do wolframalpha
how should it be typed in?
once second
\[ \frac{(6.63 \times 10^{34} )}{(1.66 \times 10^{-27} )(5.00 \times 10^6 )}\] `(6.63 times 10^{-34} )/((1.66 times 10^{-27 })(5.00 times 10^6 ))` type this into the wolframalpha
I got {7.98795×10^-14} but why doesn't it show the steps?
ohh its not gonna show you the steps. in order to see the steps you have to subscribe and pay
i can show you the steps
yeah that would be very helpful! thanks!
\[ \frac{(6.63 \times 10^{34} )}{(1.66 \times 10^{-27} )(5.00 \times 10^6 )}\] so we have to use exponent rules here 1st rule) \[\rm \color{blue}{x}^n \times \color{blue}x^m= \color{blue}{x}^{n+m}\] so ^when we multiply same base(which is x) we can add the exponents(n and m) \[\rm \frac{\color{blue}{x}^a}{\color{blue}{x}^b}= \color{blue}{x}^{a-b}\] and when we divide same bases we have to subtract their exponents
\[ \frac{(\color{red}{6.63} \times \color{blue}{10}^{34} )}{(\color{red}{1.66 }\times \color{blue}{10}^{-27} )(\color{red}{5.00 }\times \color{blue}{10}^6 )}\] \[\color{red}{\frac{ 6.63 }{ 1.66 \times 5 }}\] multiply (1.66 *5) which is equal to 8.3 and then divide 6.63 by 8.3 which is equal to 0.79879518072 \[\frac{ \color{blue}{10}^{-34} }{ \color{blue}{10}^{-27} \times \color{blue}{10}^6 }\] first apply product rule \[\color{blue}{10}^{-27} \times \color{blue}{10}^{6}= \color{blue}{10}^{-27+6}= \color{blue}{10}^{-21}\]
now we hav e\[\frac{ \color{blue}{10}^{-34} }{ \color{blue}{10}^{-21} }\] apply the quotient rule \[\large\rm \frac{ \color{blue}{10}^{-34} }{ \color{blue}{10}^{-21} }=\color{blue}{10}^{-34\color{red}{-}(-21)} =\color{blue}{10}^{-34\color{red}{+}21}=\color{blue}{10}^{-13}\]
so our final answer is \[0.79879518072 \times 10^{-13}\] and move one decimal to the right to write it in scientific notation \[7.988 \times 10^{-14}\]
does it make any sense or no lol
Yes lol. I got it all. I understand it so much better! thank you sooo much!
awesome. let me know if there is any confusion!
Join our real-time social learning platform and learn together with your friends!