math destroyer question

[spoog74]

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question goes ;

2^15 / (8^3+4^3).

I got the answer as 1 because it comes out to 2^15 / 2^15 . Destroyer puts a difference answer. Can someone confirm?

THanks

 

[FeralisExtremum]

Answer definitely isn't 1. The solution in the back explains it pretty well.

I'm assuming you managed to use the common base method to make the denominator (2^9 + 2^6). Your error seems to be adding the exponents, which you could only do if you were multiplying these two terms. You have to instead remove a common base of 2^6 from that term, making the denominator:

2^6 (2^3 + 1)

Putting the numerator back on that, our question is now:

2^15 / 2^6 * (2^3 + 1)

Which is really the same thing as saying:

(2^15/2^6) * (1/(2^3 + 1))

= 2^9 * (1/9)

= 2^9 / 9

 

[spoog74]

Answer definitely isn't 1. The solution in the back explains it pretty well.

I'm assuming you managed to use the common base method to make the denominator (2^9 + 2^6). Your error seems to be adding the exponents, which you could only do if you were multiplying these two terms. You have to instead remove a common base of 2^6 from that term, making the denominator:

2^6 (2^3 + 1)

Putting the numerator back on that, our question is now:

2^15 / 2^6 * (2^3 + 1)

Which is really the same thing as saying:

(2^15/2^6) * (1/(2^3 + 1))

= 2^9 * (1/9)

= 2^9 / 9

i figurd it out. I was so tired yesterday and hadn't realized that what you just posted is absolutely correct !!

Thanks !