SOLUTION: If 7ʷ =343¹⁰⁰, then w equals: A) 49 B) 100 C) 103 D) 300 E) 1,000,000

Algebra ->  Finance -> SOLUTION: If 7ʷ =343¹⁰⁰, then w equals: A) 49 B) 100 C) 103 D) 300 E) 1,000,000      Log On


   

Question 1123558: If 7ʷ =343¹⁰⁰, then w equals:
A) 49
B) 100
C) 103
D) 300
E) 1,000,000
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

I am assuming the problem should read +7%5Ew+=+343%5E100+ (the 1 in the exponent is sort of in-between)
+7%5E3+=+343+ so +343%5E100+=+%287%5E3%29%5E100+
Using +%28x%5Ea%29%5Eb+=+x%5E%28ab%29+
+%287%5E3%29%5E100+=+7%5E300+=+7+%5Ew+, by inspection +highlight%28+w+=+300+%29+