Question
((1024)n/5 ×
(42n+1 ))/(16n × 4n-1 ) = ? What value should come in place of the question-mark (?) in the following questions:Solution
(〖(1024)〗^(n/(5 )) × 4^(2n+1))/(〖16〗^(n ) × 4^(n- 1) ) ⇒ (〖(4⁵)〗^(n/5) × 4^(2n+1))/(4^2n × 〖4 〗^(n-1) ) ⇒ (4^(n+2n+1) )/(4^(2n+n- 1) ) ⇒ (4^(3n+1) )/(4^(3n- 1) ) ⇒ 4^(3n+1-3n+1) ⇒ 4² = 16
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