Question

[(1/2)]⁵÷(1/2³×3⁷)/(1/3⁶×1/2⁵)​

Answer 1

Answer:

$2^{-7} (3^{-13} )$

Step-by-step explanation:

Lemme do it in the simplest way possible:

I.e term wise:

$(\frac{1}{2} )^{5} = 2^{-5}$

For the second term we have,

$( \frac{1}{2} )^{3}( 3^{7})\\ =2^{-3} (3^{7})$

For the third term we have,

$(\frac{1}{3} ^{6}) (\frac{1}{2})^{5} \\\\=(3^{-6}) (2^{-5} )$

Now bringing all these terms together for your question results in,

$2^{-5} / ( \frac{2^{-3} ( 3^{7} )}{3^{-6} (2^{-5}) } )\\=2^{-5} / 2^{2}(3^{13}) \\= 2^{-7} (3^{-13} )$

Hence your answer pumpkin.