0
Think about how you do divisions that take this form: a to the power x divided by a to the power y where a is a real number and x and y are whole numbers with x being greater than y.
2 to the 6th power is 64. 2 to the 4th power is 16.
To do the division: 2 to the 6th power divided by 2 to the 4th power, you simply subtract exponents. 6 minus 4 is 2. The answer is 2 to the power 2, or 2 squared. If you divide 10 to the power 456 by 10 to the power 456, you are simply dividing a number by itself, which will give you the answer 1. It's easy enough to see that when you subtract exponents the answer will be zero. No matter what the exponents of the same base, if you are dividing a number by itself, subtracting exponents will give you 0.
This has nothing to do with dividing by zero. Any real number to the power zero equals 1.
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Rene
EzraAdd your answer:
Earn +20 pts
What is 10 to the 0 power in standard notation?
In standard notation, any number raised to the power of 0 is equal to 1. Therefore, 10 to the 0 power in standard notation is 1. This is because any non-zero number raised to the power of 0 is defined as 1 according to the fundamental properties of exponents.
Why x power zero is equal to one?
Because any number raised to the power of 0 is always equal to 1
What is 10 Raised to the power of 0 in standard notation?
One(1)
Why is o raised to zero not equal to 1?
5 raised to the power 3 equals 5 x 5 x 5 = 125 a to the power of 3 equals a x a x a zero to the power 3 = 0 x 0 x 0 = 0 zero to the power 10 = 0 x 0 x 0 x 0 x 0 x 0 x 0 x 0 x 0 x 0 = 0 So you can see that no matter how many times we multiply zero by itself the answer is always zero. Hence zero raised to the power zero equals zero
What is the relationship between 3 with a power of 0 and 2 with a power of 0?
Both 30 and 20 are equal to 1. Any real number raised to the zero power is 1.
