3 years ago

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

2 answers:

6 0

4096
(4^3)(4^4) = 4n
16384 = 4n
4n = 16384
4n/4 = 16384/4
n = 4096

Anton [14]3 years ago

3 0

Answer:

Step-by-step explanation:

$4^3\times4^4=4^n\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\4^{3+4}=4^n\\\\4^7=4^n\iff 7=n\to n=7$

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