Which is greater: 2^3,000,000 or 3^2,000,000 ???
Answer
The Answer : 3^(2,000,000)
Here’s a simple way.
3,000,000 = 3 x 1,000,000
2,000,000 = 2 x 1,000,000
So,
2^3,000,000 = (2)^(3 x 1,000,000)
2^3,000,000 = (2^3)^(1,000,000)
2^3,000,000 = 8^(1,000,000)
Similarly,
3^2,000,000 = (3)^(2 x 1,000,000)
3^2,000,000 = (3^2)^(1,000,000)
3^2,000,000 = 9^(1,000,000)
So, which is bigger, 8^(1,000,000) or 9^(1,000,000)?
Its obvious now, with a bit of “manipulation”.
9^(1,000,000) is bigger.