Without using tables, evaluate \((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)
A
10
B
12
C
8
D
7
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)
= \(\sqrt[3]{343} \times (\frac{14}{100})^{-1} \times (\sqrt{25})^{-1}\)
= \(7 \times \frac{100}{14} \times \frac{1}{5}\)
= 10.
Source: Myschool Past Questions Archive (Record #2874)