Problem

$\left(3^{4}\right)^{5}=$

Answer

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Answer

Calculating this value gives the final answer: \(\boxed{3486784401}\).

Steps

Step 1 :The problem is asking for the value of \(\left(3^{4}\right)^{5}\). This is an exponentiation operation, where the base is \(3^4\) and the exponent is 5.

Step 2 :According to the power of a power rule in mathematics, when you have an exponent raised to another exponent, you multiply the exponents. So, the problem can be simplified to \(3^{4*5}\).

Step 3 :Performing the multiplication in the exponent gives \(3^{20}\).

Step 4 :Calculating this value gives the final answer: \(\boxed{3486784401}\).

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