A) 12.5
B) 10
C) 8
D) 6.5
Correct Answer: C
Solution :
\[{{3}^{3.5}}\times {{21}^{2}}\times {{42}^{2.5}}\div {{2}^{2.5}}\times {{7}^{3.5}}=(21)?\] \[\frac{{{3}^{3.5}}\times {{3}^{2}}\times {{7}^{2}}\times {{7}^{2.5}}\times {{2}^{2.5}}\times {{3}^{2.5}}\times {{7}^{3.5}}}{{{2}^{2.5}}}={{(21)}^{?}}\] \[{{3}^{8}}\times {{7}^{8}}={{(21)}^{?}}\] \[{{(21)}^{?}}={{(21)}^{8}}\] \[\therefore \] \[?=8\]
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