Subjects algebra

Exponent Statements Dbe8F3

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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)