Question

24^(1 / 3) * 8^(4 / 3) * 27^(-1 / 3) * 36^( - 1 / 2) =
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Answer 1

Step-by-step explanation:

${24}^{ \frac{1}{3} } \times {8}^{ \frac{4}{3} } \times {27}^{ \frac{ - 1}{3} } \times {36}^{ \frac{ - 1}{2} } \\ = {( {2}^{3} \times 3) }^{ \frac{1}{3} } \times {( {2}^{3} )}^{ \frac{4}{3} } \times {( {3}^{3} )}^{ \frac{ - 1}{3} } \times {( {2}^{2} \times {3}^{2}) }^{ \frac{ - 1}{2} } \\ = {2}^{ \frac{3}{3} } \times {3}^{ \frac{1}{3} } \times {2}^{4} \times {3}^{ - 1} \times {2}^{ - 1} \times {3}^{ - 1} \\ = {2}^{1 + 4 - 1} \times {3}^{\frac{1}{3} - 1 - 1 } \\ = {2}^{4} \times {3}^{ \frac{1 - 3 - 3}{3} } \\ = {2}^{4} \times {3}^{ \frac{ - 5}{3} } \\ = \frac{ {2}^{4} }{ {3}^{ \frac{5}{3} } }$

Hope you get your answer

Answer 2

Step-by-step explanation:

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