question_answer

If \[{{\mathbf{2}}^{\mathbf{a}}}={{\left( \mathbf{0}.\mathbf{02} \right)}^{\mathbf{b}}}=\mathbf{100}\], then the value of \[\frac{\mathbf{1}}{\mathbf{a}}-\frac{\mathbf{1}}{\mathbf{b}}\] is equal to _________

A) 0                                                         

B) 1      

C) \[\frac{1}{2}\]                                                              

D) \[\frac{1}{4}\]

E) None of these