Help with this QR question

[super112]

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

I was following PEMDAS and did stuff in parenthesis (in this example it's brackets) but solutions said I did it wrong. They are saying to move the denominator to both things in the brackets individually. (i.e. (8^6/ 2^14) - (4^7/2^14)). So I'm thinking this is an error because stuff in parenthesis (or brackets since they're serving the same purpose) should be done first before dividing?

Sorry if this is an easy one, I just can't get my mind around it.

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[kholley25]

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[FeralisExtremum]

If your term in parenthesis is addition or subtraction and you're dividing it by something, you can separate out the terms (try it with simpler numbers - for example [8+4]/2 will always get you an answer of 6 whether you do the parenthesis part first or separate out terms and handle it as fractions).

 

[alexis2010]

(a-b)/c is the same as (a/c) - (b/c)
hope this helps

 

[super112]

Thanks, you guys got me re-evaluating why my answer was somehow different and I realize now that I tried to do 2^18 - 2^14 and that 2^4 was the answer. oops haha

 

[alexis2010]

you can only subtract the exponents when you are dividing!!!!