Question

Hello, please genuinely answer this question, the correct answer is (1)
The correct answer with explanation will be marked the brainliest for sure
Scams will be reported.​

Answer 1

ANSWER = 63 / 64

QUESTION

● [ [ 2^(n+4) - 2(2^n) ] / [ 2(2^(n+3)] ] + 2^(-3) is equal to

SOLUTION

● [[2^(n+4) - 2(2^n) ] / 2(2^(n+3)] + 2^(-3)

==> [[2^(n+4) - 2^(n+1)] / 2^(n+4)] + 2^(-3)

==>[ 2^(n+4) / 2^(n+4) ] - [2^(n+1) / 2^(n+4)] + 2 ^(-3)

==> 1 - [2^ (( n+1) - ( n+4))] + 2^(-3)

==> 1 - [ 2^( n +1 - n -4) ] + 2^(-3)

==> 1 - [2^(-3)] + 2^(-3)

==> 1 - 2 ^( -3 + (-3))

==> 1 - 2^( -3 - 3)

==> 1 - 2 ^(-6)

==> 1 - ( 1 / 2^6)

==> 1 - (1 / 64)

==> [64 - 1] / 64

==> 63 / 64