Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression simplifies to \( x^{2} \).
Solution
To simplify the expression:
\[ x^{2} \times y^{0} \]
**Step 1: Understand Exponents**
- Any non-zero number or variable raised to the power of **0** is **1**. This is based on the exponent rule:
\[
a^{0} = 1 \quad \text{(where } a \neq 0\text{)}
\]
**Step 2: Apply the Rule**
- Apply this rule to \( y^{0} \):
\[
y^{0} = 1
\]
**Step 3: Simplify the Expression**
- Substitute \( y^{0} \) with **1**:
\[
x^{2} \times 1 = x^{2}
\]
**Final Simplified Form:**
\[
x^{2}
\]
**Conclusion:**
The expression \( x^{2} \times y^{0} \) simplifies to \( x^{2} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
Did you know that any non-zero number raised to the power of zero equals one? So, in the expression \( x^{2} \times y^{0} \), the term \( y^{0} \) simplifies to 1! This means that your expression effectively becomes \( x^{2} \times 1 \), which is just \( x^{2} \). Easy peasy! Now, how about a little tip for handling exponents? When multiplying expressions with the same base, you can add the exponents. For example, if you had \( x^{a} \times x^{b} = x^{(a+b)} \). So keep that in mind when you're simplifying or solving problems with exponents, and you'll add some serious efficiency to your math game!
