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/<p>The value of ((1024)<sup>n/5</sup> &...

Question

The value of ((1024)n/5 × 42n+1)/( 16n × 4n-1 )

A 4 Correct Incorrect

B 16 Correct Incorrect

C 24 Correct Incorrect

D 1 Correct Incorrect

Detailed 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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