# What is the power of 0 equal to?

## What is the power of 0 equal to?

1
Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1. The general form of zero exponent rule is given by: a 0 = 1 and (a/b) 0 = 1.

## What is the rule for any number to the power of 0?

The rule for zero as an exponent: Any nonzero real number raised to the power of zero is one, this means anything that looks like a 0 a^0 a0​ will always equal 1 if a is not equal to zero.

Is 10 to the 9th power a billion?

The powers of 10 are easy to remember, because we use a base 10 number system….

Powers of 10
101=10 101=1
109=1,000,000,000 (one billion) 10-8=0.00000001 (one hundred millionth)
1010=10,000,000,000 (ten billion) 10-9=0.000000001 (one billionth)

What is 1 as a power of 10?

By definition, the number one is a power (the zeroth power) of ten. The first few non-negative powers of ten are: 1, 10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000. (sequence A011557 in the OEIS)

### What is the value of any number to the zero power?

It is commonly taught that any number to the zero power is 1, and zero to any power is 0.

### What is 10 the the 0 power?

When n is equal to 0, the power of 10 is 1; that is, 10 0 = 1. The Editors of Encyclopaedia Britannica This article was most recently revised and updated by Erik Gregersen , Senior Editor. Learn More in these related Britannica articles:

What does anything to the zero power equal?

Any nonzero number raised to the zero power is equal to one (i.e., n 0 =1). This concludes that all nonzero numbers raised to the zero power are equivalent because they all equal 1. Note that it is any nonzero number, since 0 0 is undefined.

What is infinity to the power of 0?

In that case infinity to the power of zero is 1 because any Real NUMBER to the power zero is 1. But when you calculate limits, infinity to the power zero is indeterminate. For example: [math]lim(x^(1/x))[/math] when x–>infinity.