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atroni [7]
3 years ago
8

What is the value of n in the numerical sentence below?

Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0

Answer:

The value of n=-2

Step-by-step explanation:

Given : The square root of 16 divided by 4^3 = 4^n    

To find : The value of n

Solution :  

According to given statement,    

The square root of 16 divided by 4^3 = 4^n      

\frac{\sqrt{16}}{4^3}=4^n

\sqrt{16}=4^n\times 4^3  

Applying product rule when bases are same power is added

x^m \cdot x^n= x^{m+n}

4=4^{3+n}            

According to exponential rule,

If x^m=x^n\Rightarrow m=n

So,  1=3+n      

n=-2    

Therefore, The value of n is -2

solong [7]3 years ago
5 0
Use explanation in picture

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