Tentukan nilai x bila diketahui?? tolong jawab dengan benar ya Makasih

Tentukan nilai x bila diketahui?? tolong jawab dengan benar ya Makasih

Jawaban Terkonfirmasi

A.
$x^{2} . 2^{-2} = 16^{frac{1}{2}} . 3^{2}$
$frac{x^{2}}{2^{2}} = sqrt{16} . 3^{2}$
$x^{2} = 4 . 3^{2} . 4$
$x^{2} = 16 . 3^{2}$
$x^{2} = 16 . 9$
$x^{2} = 144$
$x = sqrt{144}$
$x = 12$

b. $2^{4}.x^{3} = frac{25^{frac{1}{2}}.4^{2}}{4^{frac{3}{2}}.125^{frac{1}{3}}}$
$2^{4}.x^{3} = frac{sqrt{25}.(2.2)^{2}}{ sqrt{4^{3}}.sqrt[3]{125}}$
$2^{4}.x^{3} = frac{5.2^{2}.2^{2}}{ sqrt{64}.5}$
$x^{3} = frac{5.2^{2+2}}{8.5.2^{4}}$
$x^{3} = frac{5.2^{4}}{8.5.2^{4}}$
$x^{3} = frac{1}{8}$ ( $5.2^{4}$ nya dicoret karena sama)
$x^{3} = frac{1}{8}$
$x = sqrt[3]{frac{1}{8}}$
$x = frac{1}{2}$