JAMB - Mathematics (2008 - No. 7)
simplify \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\)
3/8
2/3
3/4
3/2
Vysvětlení
\(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\)
=\(\frac{1}{16^{\frac{1}{2}}}\times \frac{1}{4^{\frac{1}{2}}}\times 27^{\frac{1}{3}}\)
=\(\frac{1}{\sqrt{16}} \times \frac{1}{\sqrt{4}} \times \sqrt[3]{27}\)
=\(\frac{1}{4} \times \frac{1}{2} \times \frac{3}{1}\)
= \(\frac{3}{8}\)
=\(\frac{1}{16^{\frac{1}{2}}}\times \frac{1}{4^{\frac{1}{2}}}\times 27^{\frac{1}{3}}\)
=\(\frac{1}{\sqrt{16}} \times \frac{1}{\sqrt{4}} \times \sqrt[3]{27}\)
=\(\frac{1}{4} \times \frac{1}{2} \times \frac{3}{1}\)
= \(\frac{3}{8}\)