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3 votes
What is the value of n in this equation?
4^3×4^4=4n


User CatBusStop
by
5.6k points

2 Answers

5 votes
4096
(4^3)(4^4) = 4n
16384 = 4n
4n = 16384
4n/4 = 16384/4
n = 4096
User Phil Hudson
by
5.6k points
4 votes

Answer:

n = 7

Explanation:


4^3*4^4=4^n\qquad\text{use}\ a^n* a^m=a^(n+m)\\\\4^(3+4)=4^n\\\\4^7=4^n\iff 7=n\to n=7

User Ensonic
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5.7k points