Question

The value of 2³ *3³ *4^-5*6² is

Answer 1

Answer:

$(\frac{3}{2} )^{5} \: \: ans.$

Step-by-step explanation:

${2}^{3} \times {3}^{3} \times {4}^{ - 5} \times {6}^{2} \\ = > {2}^{3} \times {3}^{3} \times {( {2}^{2}) }^{ - 5} \times {(2 \times 3)}^{2} \\ = > {2}^{3} \times {3}^{3} \times {2}^{2 \times - 5} \times {2}^{2} \times {3}^{2} \\ = > {2}^{3} \times {3}^{3} \times {2}^{ - 10} \times {2}^{2} \times {3}^{2} \\ = > {2}^{3 + ( - 10) + 2} \times {3}^{3 + 2} \\ = > {2}^{3 - 10 + 2} \times {3}^{5} \\ = > {2}^{ - 5} \times {3}^{5} \\ = > {( \frac{1}{2} )}^{5} \times {3}^{5} \\ = > {( \frac{1}{2} \times 3)}^{5} \\ = > (\frac{3}{2} )^{5} \: \: ans.$

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