JAMB - Mathematics (2018 - No. 58)
Simplify 25\(^{(\frac{1}{2}}\) × 8\(^{(\frac{-2}{3}}\)
1\(\frac{1}{4}\)
2\(\frac{1}{4}\)
6
10
Explicació
Using law of indices
25\(^{(\frac{1}{2}}\) × 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