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.
2 to the zero power = 1
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.