Anything raised to the 0th power (except 0) is equal to 1.
The reason:
Consider the following sequence of numbers:
104, 103, 102, 101
Another way to write this sequence of numbers is
10000, 1000, 100, 10
Notice that each number is one-tenth of the preceding number.
1000 is one-tenth of 10000
100 is one-tenth of 1000
10 is one-tenth of 100.
What should the next number in the sequence be?
Looking at the first way of writing the numbers, it should be 100.
Looking at the second way of writing it should be one-tenth of 10. One-tenth of 10 is 1.
Similarly 10-1 would be the next number in the sequence and it would have to equal one-tenth of 1 or 0.1.
Yes. Any number to the 0 power is 1
1. Any number to the power of zero is equal to one.
I don't like this answer, but according to mathematical theory, anything but zero ,to the zeroth power is set equal to "one".
Zero
Anything to the power zero is equal to 1 by definition.
Yes. Any number to the 0 power is 1
1. Any number to the power of zero is equal to one.
I don't like this answer, but according to mathematical theory, anything but zero ,to the zeroth power is set equal to "one".
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.
Zero
Yes, zero divided by ten does equal zero. When zero is divided by any number, the result is zero.
anything to the zero power equal 0
Anything to the power zero is equal to 1 by definition.
One. Any number to the zero power is one.
The inconsistency is the following:Any number raised to the power zero is equal to one.Zero raised to any power is equal to zero.
Any non-zero number, raised to the zero power is equal to 1.
Any number raised to the power of zero is always equal to 1