Any number to the 1st power is the same number, unchanged. Two to the 1st power is 2.
One half to the negative first power is equal to the reciprocal of one half raised to the first power. The reciprocal of one half is two, so (1/2)^(-1) = 1 / (1/2) = 1 * 2 = 2.
A negative power/index/exponent simply inverts the expression and the power now becomes a positive number. 2-1 = 1/21 = 1/2 = 0.5 Note : This also applies if the term is the denominator. For example : 1/3-2 = 32 = 9.
2-1 = 1/(21) = 1/2 = 0.5
A similar question can be solved as below : If x to the power 4 plus 1 upon x to the power 4 equals 23 then what will be (x minus 1 upon x) to the power 2 equals what?a2 + b2 = (a + b)^2 - 2ab.so (x^2 )^2 + (1/x2)^2 = (x^2 + 1/x^2)^2 - 2 = 23.so (x^2 + 1/x^2) = 5.therefore(x - 1/x)^2 = (x^2 + 1/x^2) -2 = 5 -2 = 3.
-2
1 to the first power, 2 to the second power, 3 to the third power, 4 to the fourth power, 5 to the fifth power...
A negative power/index/exponent simply inverts the expression and the power now becomes a positive number. 2-1 = 1/21 = 1/2 = 0.5 Note : This also applies if the term is the denominator. For example : 1/3-2 = 32 = 9.
4
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)
sorry if this is worded weirdly, im 11 so... -2 to the power of 3 is -2 x -2 x -2 anything to the 0th power is 1 then it becomes a fraction so like 2 to the -2 power is 1/2 to the 2nd power so 2 to the -3rd is 1/2 to the 3rd so 1/8 * * * * * A negative power is a reciprocal of the positive power. So (-2)-3 = 1/((-2)3 = 1/[(-2)*(-2)*(-2)] =1/(-8) = -1/8
A negative exponent is 1 over the base to the power of the absolute value of the exponent. For example 2 to the power of -1 is 1/2, 2 to the power of -2 is 1/4, or (1/2) squared, and 2 to the power of -3 is 1/8, or (1/2) cubed.
They are mutual reciprocals.
A number to the power 1 is that number. For instance 2 to the power 1 (written here as 2^1) is 2. 2^0=1 2^1=2 2^2=4 2^3=8 2^4=16
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 to the power 2 = 1 and to the power 3 takes you back to -1.
1 to -3 power = -2