Evaluate $$ (5^{2})^{0} + (10^{3})^{0} $$

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UpStudy AI · Accepted Answer

To evaluate the expression $$ (5^{2})^{0} + (10^{3})^{0} $$, let's break it down step by step:

1. **Understanding Exponents:**
   - Any non-zero number raised to the power of 0 is equal to 1. In mathematical terms, for any $$ a \neq 0 $$:
     $$
     a^0 = 1
     $$

2. **Applying the Rule:**
   - Calculate each part of the expression separately:
     $$
     (5^{2})^{0} = 5^{2 \times 0} = 5^0 = 1
     $$
     $$
     (10^{3})^{0} = 10^{3 \times 0} = 10^0 = 1
     $$

3. **Adding the Results:**
   - Now, add the two results together:
     $$
     1 + 1 = 2
     $$

**Final Answer:**  
**2**
The expression evaluates to 2.

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