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