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    Question

    The value of ((1024)n/5 ×

    42n+1)/( 16n × 4n-1 )
    A 4 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    (γ€–(1024)γ€—^(n/(5 )) × 4^(2n+1))/(γ€–16γ€—^(n ) × 4^(n- 1) ) ⇒ (γ€–(4⁡)γ€—^(n/5) × 4^(2n+1))/(4^2n × γ€–4 γ€—^(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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