The power is indicative of how many times you should multiply a number repeatedly to achieve your result. Its easy to look at it in expanded form below with the key concept being that anything ^0 is equal to 1 as 1 is the starting point of the expanded multiplication. It must be this was as if it was 0 then anything to the power of anything would become 0. The "1" represents placing "1" 4 on the multiplication train just as a 2 would place 2 4's on it.
4^0 = 1
4^1 = 1*4 =4
4^2 = 1*4*4 = 16
4^3 = 1*4*4*4 = 64
4-5 = 1/45 = 1/1024
14
15 + 1 4 squared (or 4 to the power or 2) (or 4x4) 2 to the power of 4 8x2
Consider: i¹ = i i² = -1 i³ = -i i⁴ = 1 i⁵ = i ... The cycle of {i, -1, -i, 1} repeats with a period of 4 413 mod 4 = 1, so i⁴¹³ = i
A negative power can change "sides of the fraction" to become a positive power. For example: 5-2 = 1/52 = 1/25 In this case: 10-4 = 1/104 = 1/10,000 = 0.0001
4^(-3) = 1/4^3 or 1/64
2 to the power of -2 is equal to 1/4.x to the power of -y is equal to 1/xy.
1/4 or 0.25 or 4-1
1/4^4 is equal to 0.00390625.
2,346,192,648
No Actually... x^(-y) is equal to 1/x^y. 2^(-2) is equal to 1/2^2 which is equal to 1/4 or 0.25.
4-5 = 1/45 = 1/1024
-3
14
4
1/9^4 is equal to 0.000152.
Silly question. x to the power of four equals 1 only when x is 1, -1, i or -i.