We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
234
1
avatar+21 

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

 

Thankyou!

 Nov 8, 2018
 #1
avatar+22884 
+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

5 Online Users