Which number is bigger? (Q81)

Which is bigger: 2 to the power of 100 or 3 to the power of 75?

ANSWER

we can write 2 to the power of 100 as 16 to the power of 25

we can write 3 to the power of 75 as 27 to the power of 25

If powers are equal then 27 to the power of 25 or 3 to the power of 75 is bigger

2⁴=16 … 2¹⁰⁰=16²⁵

3³=27 … 3⁷⁵=27²⁵

2¹⁰⁰<3⁷⁵