If P = 18, Q = 21, R = -6 and S = -4, Calculate \(\frac{(P- Q)^3 + S^2}{R^3}\)
A
\(\frac{-11}{216}\)
B
\(\frac{11}{216}\)
C
\(\frac{-43}{116}\)
D
\(\frac{43}{116}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{(P- Q)^3 + S^2}{R^3}\) = \(\frac{(18 - 21)^3 + (-4)^2}{(-6)^3}\)
= \(\frac{-27 + 16}{R^3}\)
= \(\frac{-11}{-216}\)
= \(\frac{11}{216}\)
Source: Myschool Past Questions Archive (Record #32018)