{2^{n+4}-2\times2^n}/{2\times2^{n+3}}+2^{-3} is simplified to:

Surds and Indices Practice Test 1

Question : 8 of 40

Marks: +1, -0

{2^{n+4}-2×2^n}/{2×2^{n+3}}+2^{-3}

is simplified to:

Solution:

{2^{n+4}-2×2^n}/{2×2^{n+3}}+2^{-3}

={2^{n+4}- 2^{n+1}}/{ 2^{n+4}}+1/8

={2^{n+1}(2^3- 1)}/{ 2^{n+1}. 2^3}+1/8

=7/8+1/8=1

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