Question

(2ⁿ⁺⁴   - 2.2ⁿ ) /( 2.2ⁿ⁺³) + 1/8​

Answer 1

Step-by-Step Explanation:

(2ⁿ⁺⁴ - 2.2ⁿ ) /( 2.2ⁿ⁺³) + 1/8

= (2ⁿ.2⁴ - 2.2ⁿ) / (2ⁿ 2⁴) + 1/8

Taking 2ⁿ common,

= [ 2ⁿ ( 16 - 2 ) / 2ⁿ 2⁴ ] + 1/8

Eliminating in the equation 2ⁿ,

We have,

= 14/16 + 1/8 = 7/8 + 1/8 = 1

Answer 2

Explanation:

(2ⁿ⁺⁴ - 2.2ⁿ ) / ( 2.2ⁿ⁺³) + ⅛

= (2ⁿ.2⁴ - 2.2ⁿ) / (2.2ⁿ.2³) + ⅛

= [2ⁿ(2⁴ - 2)] / (2.8.2ⁿ) + ⅛

= [2ⁿ(16 - 2)] / (16.2ⁿ) + ⅛

= [2ⁿ.14] / (16.2ⁿ) + ⅛

= $\frac{14}{16}$ + ⅛

= $\frac{7}{8}$ + ⅛

= $\frac{7 + 1}{8}$

= $\frac{8}{8}$

= 1