tricky word problem... please take a look

**asilvester635** · December 18th 2012, 10:03 AM

i thought the answer was E, the largest possible integer of p... can anyone explain this to me

**skeeter** · December 18th 2012, 10:29 AM

$50^7 = (5^2 \cdot 2)^7$

**emakarov** · December 18th 2012, 10:33 AM

You are right: 50⁷ / 5¹⁴ = 2⁷ = 128. And 5¹⁴ is the largest power of 5 that divides 50⁷.

**asilvester635** · December 18th 2012, 11:05 AM

so i'm right??

**emakarov** · December 18th 2012, 11:06 AM

Originally Posted by asilvester635

so i'm right??

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

Thread: tricky word problem... please take a look