+0  
 
0
280
1
avatar

how do i get the answer to: 5.478 to the power 967?

Guest Oct 12, 2017
 #1
avatar+19853 
0

how do i get the answer to: 5.478 to the power 967?

 

\(5.478^{967} = 1.7680762752393208561357751278000043204596021262381226... \times 10^{714} \)

 

\(\begin{array}{|rcll|} \hline z &=& 5.478^{967} \quad & | \quad \log_{10} \\ \log_{10}(z) &=& \log_{10} ( 5.478^{967} ) \\ \log_{10}(z) &=& 967 \cdot \log_{10} ( 5.478 ) \\ \log_{10}(z) &=& 967 \cdot 0.73862202792 \\ \log_{10}(z) &=& 714.247500997 \quad & | \quad 10^{()} \\ z &=& 10^{714.247500997} \\ &=& 10^{714+0.247500997} \\ &=& 10^{714}\cdot 10^{0.247500997} \\ &=& 10^{0.247500997} \cdot 10^{714}\\ z &=& 1.768076275239\ldots \cdot 10^{714}\\\\ \mathbf{5.478^{967}} &\mathbf{=}& \mathbf{1.768076275239\ldots \cdot 10^{714}} \\ \hline \end{array}\)

 

 

laugh

heureka  Oct 12, 2017

12 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.