Simplify 25\(^{(\frac{1}{2}}\) \times 8\(^{(\frac{-2}{3}}\)
A
1\(\frac{1}{4}\)
B
2\(\frac{1}{4}\)
C
6
D
10
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Using law of indices
25\(^{(\frac{1}{2}}\) \times 8\(\frac{-2}{3}\)
= \(\sqrt{25}\) x (\(\sqrt[3]{8}\))\(^{ -2}\)
= 5 x 2\(^{-2}\)
= 5 x \(\frac{1}{2^2}\) =
\(\frac{5}{4}\) = \(\frac{11}{4}\)
The answer is A
Source: Myschool Past Questions Archive (Record #47600)