Question

2^(n+2) - 2.2^(n )/ 2 ^2(n +2) , when simplified is

Answer 1

Answer:

(16*2n+1 - 4*2n) / (16*2n+2 - 2*2n+2)

= (24*2n+1 - 22*2n) / (24*2n+2 - 2*2n+2) ( by using property am * an= am+n)

= (24+n+1 - 2n+2) / (24+n+2 - 21+n+2)

= (2n+5-2n+2) / (2n+6-2n+3)

= (2n+2+3-2n+2) / (2n+3+3-2n+3)

= (2n+2)(2n+3-1) / (2n+3)(2n+3-1)

= 2n+2 / 2n+3

= 2n+2-(n+3) (by using property am/an=am-n)

= 2n+2-n-3

= 22-3

= 2-1

=1/2

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