Oh, dude, 2 to the power of n minus 1 calculates the largest Mersenne Prime number less than 2 to the power of n. It's like the cool kid of prime numbers, you know? Just strutting around, being all big and powerful. So yeah, that's what it does.
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1 _ 2to the 3rd power and solve so it would be.... 1/8 as a fraction
3 to the power of 1 is 3. 3 to the power of minus 2 is equal to 1 over 3 to the power of 2. 3 to the power of 2 is 9. 3 to the power of 1 times 3 to the power of minus 2 is the same as... 3 divided by 3 to the power of 2. So that gives us 3 divided by 9 which is the same as 1/3.
2^-1 is the same as 1/2^1 which is 1/2 or 0.5
4^(-2) = 1/4^2 = 1/16.
For anything to the power of a negative, put the number as the denominator in 1/? and then solve (ex: 2 to the power of neg. 2 = 1/2 to the power of 2 = 1/4)