(16^⅔)^¾ =tolong guys

(16^⅔)^¾ =tolong guys

Penjelasan dengan langkah-langkah:

$= {( {16}^{ frac{2}{3} }) }^{ frac{3}{4} }$

$= {({ ({2}^{4}) }^{ frac{2}{3} } })^{ frac{3}{4} }$

$= {2}^{4 times frac{2}{3} times frac{3}{4} }$

$= {2}^{ frac{24}{12} }$

$= {2}^{2}$

$= 4$

(16^2/3)^3/4

= ((4²)^2/3)^3/4

= (4^4/3)^3/4

= 4^12/12

= 4¹

= 4