Question
Ictice Simplify each expression. (1.) \( \frac{1}{2^{0}} \)
Ask by Turner Patel. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression simplifies to 1.
Solution
To simplify the expression:
\[
\frac{1}{2^{0}}
\]
**Step 1:** Recall that any non-zero number raised to the power of 0 is 1. That is:
\[
2^{0} = 1
\]
**Step 2:** Substitute \( 2^{0} \) with 1 in the original expression:
\[
\frac{1}{2^{0}} = \frac{1}{1}
\]
**Step 3:** Simplify the fraction:
\[
\frac{1}{1} = 1
\]
**Final Answer:**
\[
1
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
The expression \( \frac{1}{2^{0}} \) simplifies to 1. This is because any non-zero number raised to the power of zero equals one, so \( 2^{0} = 1 \). Thus, dividing 1 by 1 results in 1. When you come across exponents, it’s crucial to remember this special case! It’s like a little magic trick in math: zero exponent means you always get one (as long as the base isn’t zero). Keep this in your toolkit – it’ll serve you well!
