Bantuin plisss☝️dan makasini yang udah jawabb

Bantuin plisss☝️dan makasini yang udah jawabb

SOAL A.

${({2}^{3})}^{4} times {({2}^{3})}^{ - 5} = {(2)}^{3 times 4} times {(2)}^{3 times ( - 5)}$

$= {(2)}^{12} times {(2)}^{ - 15}$

$= {(2)}^{12 + ( - 15)} = {(2)}^{ - 3} = frac{1}{{2}^{3}} = frac{1}{8}$

SOAL B.

${(32)}^{frac{2}{5}} times {(frac{1}{3})}^{ - 3} times {(14)}^{frac{ - 7}{4}} = {({2}^{5})}^{frac{4}{5}} times frac{1}{{(frac{1}{3})}^{3}} times frac{1}{{(14)}^{frac{7}{4}}}$

$= {(2)}^{5 times frac{4}{5}} times frac{1}{(frac{1}{27})} times frac{1}{sqrt[4]{{14}^{7}}}$

$= {(2)}^{4} times 27 times frac{1}{sqrt[4]{{14}^{7}}}$

$= frac{{(2)}^{4} times 27}{sqrt[4]{{14}^{7}}}$

$= frac{{(2)}^{4} times {(3)}^{3}}{sqrt[4]{{14}^{4 + 3}}}$

$= frac{{(2)}^{4} times {(3)}^{3}}{14 sqrt[4]{{14}^{3}}}$

$= frac{2 times {2}^{3} times {3}^{3}}{14 sqrt[4]{{14}^{3}}} = frac{2 times {(2 times 3)}^{3}}{14 sqrt[4]{{14}^{3}}} = frac{2 times {6}^{3}}{14 sqrt[4]{{14}^{3}}} = frac{{6}^{3}}{7 sqrt[4]{ {14}^{3}}} = frac{216}{7 sqrt[4]{{14}^{3}}}$

Kemudian rasionalkan bilangan penyebut tersebut.

$= frac{216}{7 sqrt[4]{{14}^{3}}} times frac{sqrt[4]{14}}{sqrt[4]{14}} = frac{216 sqrt[4]{14}}{7 sqrt[4]{{14}^{3}} times sqrt[4]{14}} = frac{216 sqrt[4]{14}}{7 sqrt[4]{{14}^{3} times 14}}$

$= frac{216 sqrt[4]{14}}{7 sqrt[4]{{14}^{3 + 1}}}$

$= frac{216 sqrt[4]{14}}{7 sqrt[4]{{14}^{4}}} = frac{216 sqrt[4]{14}}{7 times 14} = frac{216 sqrt[4]{14}}{98} = frac{108 sqrt[4]{14}}{49}$