+0  
 
0
145
1
avatar+21 

Determine, without a calculator, which is greater 4^100 or 6^75 (show full working)

 

Thankyou!

 Nov 8, 2018
 #1
avatar+21848 
+9

Determine, without a calculator, which is greater 4^100 or 6^75

 

\(\begin{array}{|rcl|cl|} \hline && 4^{100} && 6^{75} \\ &=& 4^{4\cdot 25} &=& 6^{3\cdot 25} \\ &=& \left(4^4\right)^{25} &=& \left(6^3\right)^{25} \\ &=& 256^{25} &=& 216^{25} \\ \hline \end{array} \)

 

\(\text{So $4^{100}$ is greater than $6^{75}$ }\)

 

laugh

 Nov 8, 2018

19 Online Users

avatar
avatar
avatar