(64)4 ÷ (8)5 = ?
A. (8)8
B. (8)2
C. (8)12
D. (8)4
E. None of these
Answer: Option E
Solution (By Examveda Team)
$$\eqalign{ & {\left( {64} \right)^4} \div {\left( 8 \right)^5} \cr & = {\left( {{8^2}} \right)^4} \div {\left( 8 \right)^5} \cr & = {\left( 8 \right)^{\left( {2 \times 4} \right)}} \div {8^5} \cr & = \frac{{{8^8}}}{{{8^5}}} \cr & = {8^{\left( {8 - 5} \right)}} \cr & = {8^3} \cr} $$This Question Belongs to Arithmetic Ability >> Surds And Indices
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