Look at this sequence:
103 = 1000
102 = 100
101 = 10
100 = ???
What would you expect the result to be? On the left, the exponent is reduced by one each time, on the right, the number is reduced by a factor of 10, so the logical continuation is 1. Replace the base (10) with any other number (except zero), and you get the same result.
Defining x0 as 1 makes several algebraic laws consistent, for example, xa + xb = xa+b. If x0 were anything else than 1, it would have to be treated as a special case in this law - or the law would only make sense for positive exponents.
Using a very similar reasoning, 10-1 = 1/10, 10-2 = 1/100, etc.
Any number raised by the 0th power is equal to 1. This can be proved by the laws of exponents, which state that nx / nx = 1, therefore, nx-x = 1.
e raised to the 0 power is 1
1. Any number to the power of zero is equal to one.
86,645.68
Yes
Any number raised to the 0th power is 1.
Any real number raised to the 0th power equals 1.
Any number raised by the 0th power is equal to 1. This can be proved by the laws of exponents, which state that nx / nx = 1, therefore, nx-x = 1.
e raised to the 0 power is 1
2 to the 0th power is 1. So is any other number to the 0th power.
a number to the power of 0 is one. Observe below: 10 to the power 5 = 100000 10 to the power 4= 10000 10 to the power 3 = 1000 10 to the power 2= 100 10 to the power 1 = 10 10 to the power 0 = 1 ______________ Same conclusion, different view: Any real number (other than zero) to the 0th power equals 1 (one). This is related to the subtraction of exponents being equivalent to division. 10 to the 7th power divided by 10 to the 4th power equals 10 to the 3rd power; you subtract exponents. 10 to the 7th power divided by 10 to the 7th power would of course equal 1, and if you subtract exponents you would have 10 to the 0th power.
1. Any number to the power of zero is equal to one.
Any positive number to the 0th power is one. ex. (51^0 = 1) Any negative number to the 0th power is negative one. ex. (-23^0 = -1) The exception is 0. 0^0 = 0
Anything to the 0th power is 1
Yes
86,645.68
1. Anything to 0th power is equal to one.