In Exercises 25–34, use the zero-exponent rule to simplify each e...

Question

In Exercises 25–34, use the zero-exponent rule to simplify each expression.

(13y)⁰

Accepted Answer

Hey, everyone in this problem, we're asked to simplify the given expression using the zero exponent rule. And to assume that Y is non-zero, the expression we're given is 21. Y all the exponent zero, we have four answer choices. Option A 21 Y, option B 21, option C one and option D0, we're gonna start by writing out what we were given. So in brackets, we have 21 y this is raised to the exponent zero. Now we're called the zero exponent rule. If we have something, say X to the exponent zero, then this is equal to one as long as X is not zero. OK? So anything raised to the exponent zero gives us just one as long as the base is not zero. Now, in our case, we have 21, Y raised to the exponent zero. OK. So that exponent applies to the 21. and Y we know that Y is nonzero. So our base 21 Y is also going to be non-zero. This means that the zero exponent rule applies. And so this expression is just equal to one. OK? This is something that's not zero raised to the exponent zero. And so we get it equal to one and comparing this with our answer choices, we found that the correct answer was one which corresponds with answer choice. C that's it for this one. Thanks everyone for watching. I hope this video helped.

In Exercises 25–34, use the zero-exponent rule to simplify each expression. (13y)⁰

Key Concepts

Zero Exponent Rule

Exponential Notation

Non-zero Bases

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