Why the answer is D, and why the others tempt you.
**The reasoning**
5³ means "5 to the power of 3" or "5 cubed" — you multiply 5 by itself **three times**:
5³ = 5 × 5 × 5
Let's calculate step by step:
- First: 5 × 5 = 25
- Then: 25 × 5 = **125**
This is the **Law of Exponents**: the small number (exponent) tells you how many times to use the base number in multiplication.
**Why the wrong options tempt you**
- **A) 15** tricks you if you mistakenly *add* instead of multiply (5 + 5 + 5 = 15). Wrong operation!
- **B) 25** catches you if you stop halfway — that's just 5 × 5, which is 5². You forgot the third multiplication.
- **C) 75** tempts you if you multiply the base by the exponent (5 × 15), mixing up the rules completely.
**Quick takeaway**
The exponent tells you **how many times** to multiply the base by itself, not how many to add or what to multiply it by — 5³ always means 5 × 5 × 5 = 125.
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