0

# Why does any number raised to the exponent 0 yield 1?

Updated: 9/25/2023

Wiki User

8y ago

It follows from the index laws.

x^(a-b) = x^a / x^b

If you then set b = a then x^0 = x^a/x^a = 1.

Wiki User

8y ago

Earn +20 pts
Q: Why does any number raised to the exponent 0 yield 1?
Submit
Still have questions?
Related questions

### What is the exponent of 111?

The exponent of 111 is 0. 1110 = 111 . Any number raised to the power of zero is that number.

### What is 51 times exponent of zero?

Any number raised to the zero power equals 1.

### What is the answer to 3with an exponent of 0?

3 to the exponent of 0 is 1. In fact, any non-zero number, raised to the power of 0 is equal to 1.

### Why is the exponent zero on a number that is equal to zero?

The question doesn't make sense, because any nonzero number raised to the zero (0) power (exponent) will always equal one (1).

### What is 3 to the 1st exponent?

the answer is 3. Any number x raised to the 1 power (x1) equals x.

### What is a zero exponet?

Any number except 0 itself raised to the power of zero exponent is always equal to 1

### Can the exponent of a number raised to the first power be omitted?

Yes. For any number "x", x to the power 1 is the same as x.

### Is 25 an exponent?

Yes, 25 CAN BE and exponent. Any number can be and exponent

### What if the problem is 16 mulitply 4 to zero exponent?

Any number raised to the zero power is ' 1 '. You can surely handle it now.

### What is the exponent of zero is?

no exponent can make a number equal to zero, however any number with an exponent of zero is one.

### What is the exponent of 50000?

The exponent of any constant number is 1.

### Why is a number to a negative exponent a fraction?

Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.