Exponent Statements Dbe8F3
1. **Stating the problem:** We are given four mathematical statements and asked which pairs are correct.
2. **Analyze each statement:**
(i) $2 \times 2 \times 2 \times 2 \times 2 = 2^4$
- Multiplying five 2's is $2^5$, not $2^4$. So (i) is **incorrect**.
(ii) $125 = 5^3$
- Since $5^3 = 5 \times 5 \times 5 = 125$, (ii) is **correct**.
(iii) $(-3)^3 = -27$
- $(-3)^3 = (-3) \times (-3) \times (-3) = -27$, so (iii) is **correct**.
(iv) $\left(\frac{1}{5}\right)^3 = \frac{1}{225}$
- $\left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{125}$, not $\frac{1}{225}$. So (iv) is **incorrect**.
3. **Conclusion:** The correct statements are (ii) and (iii).
**Final answer:** C. (ii) dan (iii)