What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?
Answers
Answered by
16
Heya...!!!!
90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10
=> (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) = 10^9
=> 5^10
Hence,
10 is the highest power of 5.
90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10
=> (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) = 10^9
=> 5^10
Hence,
10 is the highest power of 5.
Answered by
10
HELLO DEAR,
90/5 = 18
80/5 = 16
70/5 = 14
60/5 = 12
50/5×5 = 2
40/5 = 8
30/5 = 6
20/5 = 4
10/5 = 2
take l.c.m of each no.
we get ,
one 5 in each number instead of 50(5*5*2)
So answer is 5^10
I HOPE ITS HELP YOU DEAR,
THANKS
90/5 = 18
80/5 = 16
70/5 = 14
60/5 = 12
50/5×5 = 2
40/5 = 8
30/5 = 6
20/5 = 4
10/5 = 2
take l.c.m of each no.
we get ,
one 5 in each number instead of 50(5*5*2)
So answer is 5^10
I HOPE ITS HELP YOU DEAR,
THANKS
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