Evaluate [8^6-4^7]/2^{14}

Alexandra Richardson

Alexandra Richardson

Answered question

2022-07-25

Evaluate 8 6 4 7 2 14

Answer & Explanation

Steppkelk

Steppkelk

Beginner2022-07-26Added 11 answers

We have given that 8 6 4 7 2 14
We can write 8 = 2 3 and 4 = 2 2 so our expression becomes
[ ( 2 3 ) 6 ( 2 2 ) 7 ] 2 14
We know that ( A b ) k = A b k
We can write this like 2 14 2 4 2 14 2 14
Factor out the 2 14 in numerator. 2 14 ( 2 4 1 ) 2 14
Cancel the same terms in numerator and denominator , so we get ( 2 4 1 ) = 15

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