Question
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Answer
The simplified result is \( -1 \).
Solution
Simplify the expression by following steps:
- step0: Solution:
\(-\left(3mn^{-2}\right)^{0}\)
- step1: Simplify:
\(-1\)
To simplify the expression \( -\left(3 m n^{-2}\right)^{0} \):
1. **Understanding the exponent**: Any non-zero number raised to the power of 0 is equal to 1. Therefore, \( \left(3 m n^{-2}\right)^{0} = 1 \).
2. **Applying the negative sign**: The expression becomes \( -1 \).
Thus, the simplified result is \( -1 \).
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Simplify this solution Extra Insights
Did you know that any non-zero number raised to the power of zero is always one? That's right! So, in your expression \(-\left(3 m n^{-2}\right)^{0}\), the entire term inside the parentheses becomes 1 because of that zero exponent. Don't forget the negative sign in front, which means the final answer is just \(-1\)! If we think about exponents a little more, it’s fun to see how they influence various mathematical concepts. For example, in algebra, exponents play a key role in simplifying expressions and solving equations. Once you get the hang of the exponent rules, you'll find they can really speed up your calculations and make your math journey much smoother!
