Sederhanakan bentuk akar berikut:

$frac{ {6}^{3} times {8}^{4} times {4}^{2} }{ {3}^{5} times {4}^{4} times {2}^{2} }$

Sederhanakan bentuk akar berikut:

Gunakan sifat:

$a times b =c → {(a times b)}^{m} = {c}^{m} \ {(a times b)}^{m} = {a}^{m} times {b}^{m} \ frac{ {a}^{m} }{ {b}^{m} } = { (frac{a}{b}) }^{m} \ {a}^{ -m } = frac{1}{ {a}^{m} } \ {a}^{m} times {a}^{n} = {a}^{m +n } \ frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

$frac{ {6}^{3} times {8}^{4} times {4}^{2} }{ {3}^{5} times {4}^{4} times {2}^{2} } \ = frac{ {(2 times 3)}^{3} }{ {3}^{5} } times ( frac{8}{4})^{4} times ( frac{4}{2})^{2} \ = frac{ {2}^{3} times {3}^{3} }{ {3}^{5} } times {2}^{4} times {2}^{2} \ = {2}^{3 + 4 + 2} times {3}^{3 - 5} \ = {2}^{9} times {3}^{ - 2} \ = frac{ {2}^{9} }{ {3}^{2} }$