Question

Write three powers that have values greater than 120 and less than 130? Please answer. I need it right now... :(((((

Answer 1

Consider a few powers which are close to 120 and 130:

squares:


`10^2=100\\\\ 11^2=121\\\\12^2=144`

cubes:


`3^3=27\\\\4^3=64\\\\5^3=125\\\\6^3=216`


4th powers:


`3^4=81\\\\4^4=256`


now clearly there is no point of checking 5th, 6th and so on powers of numbers >2.

so check powers of 2:


`2^5=32, 2^6=64, 2^7=128`



So we have :


`11^2=121\\\\5^3=125\\\\2^7=128`