# Highest power of three

• Aug 12th 2009, 10:42 PM
a69356
Highest power of three
Q-> What is the highest power of 3 available in the expression

58! - 38! ?

Thanks
• Aug 13th 2009, 02:31 AM
CaptainBlack
Quote:

Originally Posted by a69356
Q-> What is the highest power of 3 available in the expression

58! - 38! ?

Thanks

Write this as:

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

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

CB