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Results tagged with mathematics
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user 22948
A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.
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Fast Mental Calculation of $7.5^7$
Assuming $7^7=a$ and $8^7=b$
I think we can approximate as below:
$${7.5}^7\times 1\approx \int_7^8x^7dx=\frac 18\left(8^8-7^8\right)=8^7-\frac 78 7^7=b-\frac 78 a$$
which gives $1376551.875$, very …
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