Raised To The Zero Power

What to do when the exponent is zero

What practise yous practise with a zero exponent?

This lesson volition cover how to find the power of a number or nonzero variable raised to the zero power.

The dominion for zip every bit an exponent:

Any nonzero real number raised to the power of cipher is ane, this ways annihilation that looks like ???a^0??? will e'er equal ???1??? if ???a??? is not equal to zero.

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What is a constant raised to the null power?

Example

Simplify the expression.

???9^0???

Just remember that any nonzero real number raised to the power of zero is one, and then

???ix^0 = 1???

Video with lots of examples of different kinds of numbers raised to the nada power

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What is a really big number raised to the 0 ability equal to?

Example

Simplify the expression.

???99,102^0???

Look dissimilar? Don't worry, just recollect that any nonzero existent number raised to the ability of zero is one, so

???99,102^0=ane???

zero as an exponent — Just remember that any nonzero real number raised to the power of zero is one

What do you get when you heighten a variable to the ability of zippo?

Example

Simplify the expression.

???y^0???

It's still true that any nonzero existent number raised to the ability of naught is one then,

???y^0=i???

We do demand to assume that ???y \neq 0???.

Skillful news, the dominion is still true if you have more 1 variable, or a combination of variables and numerals.

Raising an expression to the zero power

Example

Simplify the expression.

???(3xy + a)^0???

It'south yet true that whatever nonzero real number raised to the power of zero is one and we know that ???3xy + a??? really is just a representation of a number. This means,

???(3xy + a)^0=i???

We do make the assumption that the expression ???3xy+a??? isn't equal to ???0???.

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