?
(19)12 × (19)8 ÷ (19)4 = (19)?
Answer & Solution
Correct Answer:
Option
E
$$\eqalign{
& \frac{{{{\left( {19} \right)}^{12}} \times {{\left( {19} \right)}^8}}}{{{{\left( {19} \right)}^4}}} \cr
& = \frac{{{{19}^{\left( {12 + 8} \right)}}}}{{{{\left( {19} \right)}^4}}} \cr
& = \frac{{{{\left( {19} \right)}^{20}}}}{{{{\left( {19} \right)}^4}}} \cr
& = {\left( {19} \right)^{\left( {20 - 4} \right)}} \cr
& = {\left( {19} \right)^{16}} \cr} $$
Hence the missing number = 16
Hence the missing number = 16
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