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3215272332^{-\frac15}-27^{-\frac23}

A11/36

B7/18

C15/32

D17/27

Answer:

B. 7/18

Read Explanation:

3215272332^{-\frac15}-27^{-\frac23}

=(25)15(33)23=(2^5)^{-\frac15}-(3^3)^{-\frac23}

=25×(1/5)33×(2/3)=2132=2^{5\times(-1/5)}-3^{3\times(-2/3)}=2^{-1}-3^{-2}

=1219=\frac12-\frac19

=(92)18=7/18=\frac{(9-2)}{18}=7/18


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