JAMB - Mathematics (1982 - No. 35)
Simplify f\(^{\frac{1}{2}}\)g\(^2\)h\(^{\frac{1}{3}}\) \(\div\) f\(^{\frac{5}{2}}\)g\(^o\)h\(^{\frac{7}{3}}\)
(\(\frac{g}{fh}\))2
f2g2h2
\(\frac{5}{4}\)goh\(\frac{7}{9}\)
\(\frac{g^2}{f^5h^7}\)
\(\frac{1}{f^2h^2}\)
설명
f\(^{\frac{1}{2}}\)g\(^2\)h\(^{\frac{1}{3}}\) \(\div\) f\(^{\frac{5}{2}}\)g\(^o\)h\(^{\frac{7}{3}}\) = f\(^{\frac{1}{2} - \frac{5}{2}}\) g\(^{2 - 0}\) h\(^{\frac{1}{3} - \frac{7}{3}}\)
= f\(^{-2}\) g\(^2\) h\(^{-2}\)
= \(\frac{g^2}{f^2h^2}\)
= (\(\frac{g}{fh}\))\(^2\)
= f\(^{-2}\) g\(^2\) h\(^{-2}\)
= \(\frac{g^2}{f^2h^2}\)
= (\(\frac{g}{fh}\))\(^2\)