Let’s solve problem 11:
Simplify: $(x^2)^0$
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Step-by-step thinking:
We know a key rule about exponents:
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Any non-zero number raised to the power of 0 equals 1.
That means:
If you have something like $a^0$, and $a$ is not zero, then $a^0 = 1$.
In this problem, we have $(x^2)^0$.
Even though there’s an exponent inside (the 2), the whole thing is being raised to the 0 power.
So think of it like this:
Let $A = x^2$. Then the expression becomes $A^0$.
And since $A^0 = 1$ (as long as A isn’t zero — which we assume in basic algebra unless told otherwise), then:
$(x^2)^0 = 1$
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You might also see someone try to multiply the exponents first:
$(x^2)^0 = x^{2 \cdot 0} = x^0 = 1$
That works too! Either way, you get 1.
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Final Answer:
1
Parent Tip: Review the logic above to help your child master the concept of negative exponents worksheet kuta.
