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Question: \(\left( x ^ { 5 } \right) ^ { 1 / 3 } \left( 16 x ^ { 3 } \right) ^ { 2 / 3 }\) \(\left( \frac{1}{4...

(x5)1/3(16x3)2/3\left( x ^ { 5 } \right) ^ { 1 / 3 } \left( 16 x ^ { 3 } \right) ^ { 2 / 3 } (14x4/9)−3/2=\left( \frac{1}{4}x^{4/9} \right)^{- 3/2} =

A

(x/4)3(x/4)^{3}

B

(4x)3(4x)^{3}

C

8x38x^{3}

D

None of these

Answer

None of these

Explanation

Solution

(x5)1/3(16x3)2/3(14x4/9)−3/2x53+3.23−49.32223.4+3=2173x3(x^{5})^{1/3}(16x^{3})^{2/3}\left( \frac{1}{4}x^{4/9} \right)^{- 3/2}x^{\frac{5}{3} + 3.\frac{2}{3} - \frac{4}{9}.\frac{3}{2}}2^{\frac{2}{3}.4 + 3} = 2^{\frac{17}{3}}x^{3}.