Evaluate (2^ -3) + [2^x+4 - 2*2^x]/[2*2^x+3]
Answers
Answered by
1
2^(-3) + [ 2^(x + 4)-2.2^x]/[2.2^(x +3)]
= 1/8 + [ 2^(x + 4) -2^(x + 1)]/[2^( x +4)]
=1/8 + 2^(x +1) [ 2^3 - 1]/[ 2^( x +4)
=1/8 + {2^( x +1 )-(x +4)} [ 8 - 1]
= 1/8 + 2^(-3) × 7
=1/8 + 7/8
=8/8 = 1 ( answer )
= 1/8 + [ 2^(x + 4) -2^(x + 1)]/[2^( x +4)]
=1/8 + 2^(x +1) [ 2^3 - 1]/[ 2^( x +4)
=1/8 + {2^( x +1 )-(x +4)} [ 8 - 1]
= 1/8 + 2^(-3) × 7
=1/8 + 7/8
=8/8 = 1 ( answer )
Similar questions