1

- Is something to the power of 0 always 1?
- How do you prove to the power of 0 is 1?
- What is a number to the power of 0?
- What if the exponent is 1?
- What do you think is zero raised to zero?
- What is the value of 3 power?
- What is 3 to the power infinity?
- What is 5 to the power infinity?
- What is 3 to the 3rs power?
- What does 10 to the 100th power look like?

## Is something to the power of 0 always 1?

Now, we write the number 1 and the base number 8 zero times. 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.

## How do you prove to the power of 0 is 1?

Since x0 is 1 for all numbers x other than 0, it would be logical to define that 00 = 1. But we could also think of 00 having the value 0, because zero to any power (other than the zero power) is zero. Also, the logarithm of 00 would be 0 · infinity, which is in itself an indeterminate form.

## What is a number to the power of 0?

Any non-zero number to the zero power equals one. Zero to any positive exponent equals zero. So, what happens when you have zero to the zero power?

## What if the exponent is 1?

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one.

## What do you think is zero raised to zero?

Zero to the power of zero, denoted by 00, is a mathematical expression with no agreed-upon value. The most common possibilities are 1 or leaving the expression undefined, with justifications existing for each, depending on context.

## What is the value of 3 power?

Exponent Tables and Patterns

Powers of 3 | Powers of 9 |
---|---|

33=27 | 93=729 |

34=81 | 94=6561 |

35=243 | 95=59,049 |

36=729 | 96=531,441 |

## What is 3 to the power infinity?

It will be 3+3+3+3+3+3+3+3+3… We’ve already solved it at the beginning of the answer. Yes it’s infinity.

## What is 5 to the power infinity?

Any number ‘x’ divided by zero equals infinity i.e, x/0=infinity. Note: even zero is just a concept. It was used as a place holder to differentiate numbers like 5 and 50 or so… There is no such thing as something ‘raised to the power of infinity’.

## What is 3 to the 3rs power?

27

## What does 10 to the 100th power look like?

Googol is 10 to the 100th power, which is 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000. Googolplex isn’t just that number but has that many zeros in it. It simply has no other nameable name.

Patreon: https://www.patreon.com/H3VtuxMy attempt at making an instructional visual explanation. Music is by Eric Prydz.

## No Comments