中等MATH-NUMB-006
Simplify (a^2 b^(−3))^2 / a^(−1), where a ≠ 0 and b ≠ 0.
A. a^3 / b^6
B. a^4 / b^5
C. a^5 / b^6✓ 答案
D. a^3 b^6
解說
(a^2)^2 = a^4 and (b^(−3))^2 = b^(−6). Dividing by a^(−1) multiplies by a, so the result is a^5 b^(−6) = a^5 / b^6. Stopping before that extra factor of a gives a^4 in the numerator.