(1000)12 ÷ (10)30 = ?
A. (1000)2
B. 10
C. 100
D. (100)12
E. None of these
Answer: Option A
Solution (By Examveda Team)
$$\eqalign{ & \frac{{{{\left( {1000} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {{{10}^3}} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {10} \right)}^{\left( {3 \times 12} \right)}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {10} \right)}^{36}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = {\left( {10} \right)^{\left( {36 - 30} \right)}} \cr & = {10^6} \cr & = {\left( {{{10}^3}} \right)^2} \cr & = {\left( {1000} \right)^2} \cr} $$This Question Belongs to Arithmetic Ability >> Surds And Indices
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