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What is the value of n if 2^10 * 4^20 * 8^40 = 2^n?

 Jan 22, 2022
 #1
avatar+2444 
+1

\(2^{10} = 2^{10}\)

\(4^{20} = 2^{2^{20}} = 2^{40}\)

\(8^{40} = 2^{2^{2^{40}}} = 2^{160}\)

\(2^{10} * 2^{40} * 2^{160} = 2^{210}\)

 

So... \(n = 210\)

 Jan 22, 2022
 #2
avatar+23200 
+2

I agree with Bs answer until  840  =  (23)40  =  120

 Jan 22, 2022

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