Diketahui a=4, b=16, dan c=27. Nilai a^3/2. b^3/4. c^1/3 =

║Subject : exponent number║
║Class : X of Senior High School║

Known :
a = 4
b = 16
c = 27 

substitution all number to the question !

⇒ a^³/₂ . b^³/₄ . c^¹/₃
⇒ 4^³/₂ . 16^³/₄ . 27^¹/₃
⇒ √64 . 2^¹²/₄ . ∛27
⇒ 8 . 2^³ . 3
⇒ 8 . 8 . 3
⇒ 192

Thanks 

[tex]a = 4 \: \: \: \: \: b = 16 \: \: \: \: \: c = 27 \\ \frac{{a}^{3}}{2} \times \frac{{b}^{3}}{4} \times \frac{{c}^{1}}{3} = \frac{{4}^{3}}{2} \times \frac{{16}^{3}}{4} \times \frac{{27}^{1}}{3} \\ \frac{{( {2}^{2}) }^{3}}{2} \times \frac{{ ({2}^{4}) }^{3}}{ {2}^{2} } \times \frac{{ {3}^{3} }}{3} \\ = {2}^{6 - 1} \times {2}^{12 - 2} \times {3}^{3 - 1} \\ = {2}^{5} \times {2}^{10} \times {3}^{2} = 32 \times 1024 \times 9 \\ = 294912[/tex]