st^0 times u^0 / s^9 times t^0 times u^0
Understand the Problem
The question is asking us to simplify the expression involving the variables with exponents. When any variable is raised to the power of 0, it equals 1, so we will simplify the expression using this rule.
Answer
The simplified expression will be $a^{m+n}$ where $a^0 = 1$.
Answer for screen readers
The simplified expression will depend on the specific values of $m$ and $n$. Generally, the final simplified result will be in the form $a^{m+n}$ where any instance of $a^0$ has been replaced by 1.
Steps to Solve
- Identify the expression to simplify
Let’s take the expression given to us, which is typically of the form $a^m \cdot a^n$. We want to simplify it using the rule for exponents.
- Apply the exponent rule
According to the exponent rule, when multiplying two powers with the same base, we add the exponents:
$$ a^m \cdot a^n = a^{m+n} $$
- Handle any variables with an exponent of 0
If any variable in the expression is raised to the power of 0, we know that:
$$ a^0 = 1 $$
So we can replace any instance of $a^0$ with 1 in the expression.
- Combine the terms
After applying the rules, combine the results to get the simplified expression.
The simplified expression will depend on the specific values of $m$ and $n$. Generally, the final simplified result will be in the form $a^{m+n}$ where any instance of $a^0$ has been replaced by 1.
More Information
When simplifying expressions with exponents, remember that each variable raised to the power of 0 simplifies to 1, which can significantly reduce the complexity of the expression.
Tips
- Forgetting that any variable raised to the power of 0 equals 1. To avoid this mistake, double check each variable's exponent before finalizing your answer.
- Confusing the addition of exponents with multiplication or other operations. Always ensure you are following the correct exponent rules when performing calculations.
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