4 months ago2^100=2^(2×5×5×2)=2^(2×2)^(5×5) =2^4^25=16^25 3^75=3^(3×5×5)=3^3^25=27^25 As the powers are 25 to both, so the bases can be compared. As 27>16 so 3^75 is greater.
4 months ago3 is 50% larger than 2, while 100 is only 33% larger than 75 Therefore 3^75 > 2^100
4 months ago2•2=4 4•2=8 8•2=16 16•2=32 32•2=64 64•2=128 128•2=256 256•2=512 512•2=1,024 1,024•2=2,048 2,048•2=4,096 4,096•2=8,192 8,192•2=16,384 16,384•2=32,768 32,768•2=65,536 65,536•2=131,072 131,072•2=262,144 262,144•2=524,288 524,288•2=1,048,576 1,048,576•2=2,097,152 2,097,152•2=4,194,304 4,194,304•2=8,388,608 8,388,608•2=16,777,216 16,777,216•2=33,554,432 This is 2^25 I will do the rest in quarters so 2^50 and then 2^75 and last 2^100
