$${\text{If 1}}{{\text{0}}^x}{\text{ = }}\frac{1}{2}{\text{ then 1}}{{\text{0}}^{ - 8x}} = ?$$
A. $$\frac{1}{{256}}$$
B. 16
C. 80
D. 256
Answer: Option D
Solution (By Examveda Team)
$$\eqalign{ & {\text{1}}{{\text{0}}^{ - 8x}} \cr & = {\left[ {{{10}^x}} \right]^{ - 8}} \cr & = {\left[ {\frac{1}{2}} \right]^{ - 8}} \cr & = {2^8} \cr & = 256 \cr} $$This Question Belongs to Arithmetic Ability >> Surds And Indices
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