# tricky word problem... please take a look

• December 18th 2012, 10:03 AM
asilvester635
tricky word problem... please take a look
i thought the answer was E, the largest possible integer of p... can anyone explain this to me
• December 18th 2012, 10:29 AM
skeeter
Re: tricky word problem... please take a look
$50^7 = (5^2 \cdot 2)^7$
• December 18th 2012, 10:33 AM
emakarov
Re: tricky word problem... please take a look
You are right: 50⁷ / 5¹⁴ = 2⁷ = 128. And 5¹⁴ is the largest power of 5 that divides 50⁷.
• December 18th 2012, 11:05 AM
asilvester635
Re: tricky word problem... please take a look
so i'm right??
• December 18th 2012, 11:06 AM
emakarov
Re: tricky word problem... please take a look
Quote:

Originally Posted by asilvester635
so i'm right??

Yes. But be prepared to prove it convincingly to any skeptic!