Question

prove that 2 power 28 + 2 power 29 - 2 power 27 whole divided by 2 power 30 - 2 power 29 + 2 power 28 is equal to 5 / 6 ​

Answer 1

Step-by-step explanation:

(2²⁸+2²⁹-2²⁷)/(2³⁰-2²⁹+2²⁸)

solve bracket

in first bracket take 2²⁷ common

2²⁷(2¹+2²-2⁰)

2²⁷(2+4-1)

2²⁷×5

in second bracket take 2²⁸ common

2²⁸(2²-2¹+2⁰)

2²⁸(4-2+1)

2²⁸×3

now:(2²⁷×5)/(2²⁸×3)

2²⁷÷2²⁸×5/3

2^-1×5/3

1/2×5/3=5/6

hence proved

note: a^-1=a raised to -1

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