Answer
$151,200$
Work Step by Step
To multiply integers, multiply the numbers normally. If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
Hence, the given expression, $
(-5)(-6)(-7)(-8)(-9)(-10)
,$ simplifies to
\begin{array}{l}\require{cancel}
(-5)(-6)(-7)(-8)(-9)(-10)
\\\\=
(30)(-7)(-8)(-9)(-10)
\\\\=
(-210)(-8)(-9)(-10)
\\\\=
(1680)(-9)(-10)
\\\\=
(-15120)(-10)
\\\\=
151,200
.\end{array}