Discussion
If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =
Answer: D
(1.001)3321 = 27.64.
The exponents add up: 1259 + 2062 = 3321. Powers of the same base multiply when their exponents add, so:
\[ \begin{aligned} (1.001)^{3321} &= (1.001)^{1259} \times (1.001)^{2062} \\ &= 3.52 \times 7.85 = 27.632 \end{aligned} \]
which agrees with 27.64 within the rounding of the two given values (3.52 and 7.85 are themselves rounded). 11.37 is 3.52 + 7.85, adding the values instead of multiplying them. 4.33 and 2.23 are a difference and a ratio of the two values, which would answer a subtraction of exponents, not an addition.
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