The value of n for the given equation is 13
An exponential expression a^n , where 'a' is the base and 'n' is the power
To simplify any exponents we use exponential properties .
When the exponents are multiplication with same base then we add the powers.
[tex]a^n \cdot a^m = a^{m+n}[/tex]
From the given equation we apply product rule of exponents to simplify the right side of the equation .
[tex]5^n= 5^{11} \cdot 5^3\\5^n = 5^{14}[/tex]
Now both sides have same base . so we equate the powers
[tex]5^n= 5^{13}\\n=13[/tex]
The value of n for the equation is 13
Learn more information about exponents here:
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