Q-> What is the highest power of 3 available in the expression

58! - 38! ?

Thanks

Originally Posted by a69356

Q-> What is the highest power of 3 available in the expression

58! - 38! ?

Thanks

Write this as:

$\displaystyle 58!-38!=38! \left( \frac{58!}{38!}-1 \right)$

As the term in brackets is not divisible by $\displaystyle 3$, you are asking what is the highest power of $\displaystyle 3$ in $\displaystyle 38!$

CB