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???
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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Raised To The Zero Power,
Source: https://www.kristakingmath.com/blog/when-the-exponent-is-zero
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