answersLogoWhite

0


Best Answer

Silly question.

x to the power of four equals 1 only when x is 1, -1, i or -i.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is x to the power of 4 equal to 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How much is 2 to the power -2?

2 to the power of -2 is equal to 1/4.x to the power of -y is equal to 1/xy.


Does 2 to the negative power of 2 equal negative 4?

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.


Why is 6 to the power 0 equal to 1?

Anything to the power 0 is 1. Using the laws of powers to get to x to the power n-1 from x to the power n you divide by n; eg to get 4 squared (16) from 4 cubed (64) you divide 64 by 4. If you start with x to the power 1 and want x to the power zero, you divide by x. And x divided by x is 1.


Why everything to power of zero is equal to one?

x to the power a divided by x to the power b is x to the power (a - b) When a and b are equal then this is x to the power a divided by x to the power a, ie 1. x to the power (a - a) = x to the power zero. Things which are equal to the same thing are equal to each other, so 1 = x to the power zero.


What expression is equal to x to the 3rd power times x to the -7th power?

10


What is one to the 8 power?

One to any power is equal to 1. As a formula: For all x, 1x = 1.One to any power is equal to 1. As a formula: For all x, 1x = 1.One to any power is equal to 1. As a formula: For all x, 1x = 1.One to any power is equal to 1. As a formula: For all x, 1x = 1.


What does x to the power of negative 1 equal?

x-1 = 1/x


What is 3 to the power of 4?

7


I raised to the 25 power?

Is that one? One raised to any positive power is one.


How should you simplify x0?

If that is x to the power 0, then it = 1, irrespective of the value of x. Consider for example x =4. x squared is 16. To get from x to the power 2 to x to the power 1, you divide by x, giving 4 to the power 1 = 4. Similarly, to get from x to the power 1 to x to the power 0, you divide by x, giving 4 to the power zero = 1.


Why does everything to the zeroth power equal one?

In order to understand why everything to the zeroth power equal one, let's do some examples. 8^0 = 8^(1-1) = (8^1)(8^-1) = (8)(1/8) = 8/8 = 1 2^0 = 2^(2-2) = (2^2)(2^-2) = (4)(1/2^2) = (4)(1/4) = 4/4 = 1 (x + 1)^0 = (x + 1)^(1-1) = [(x + 1)^1][(x + 1)^-1] = (x+ 1)[1/(x + 1)] = (x + 1)/(x + 1) = 1


Solve 8x to the zero power?

Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1.