Identify Equation & Operation: Identify the given equation and the mathematical operation involved.The given equation is 11a=(113)41.
Rewrite Using Exponent Property: Rewrite the right side of the equation using the property of exponents that states (am)1/n=am/n.So, (113)1/4 becomes 113/4.
Set Exponents Equal: Set the exponents equal to each other since the bases are the same.Therefore, a=43.
Check Solution: Check the solution by substituting a back into the original equation.1143 should equal the fourth root of 113. Since 1143 is indeed the fourth root of 113, the solution is correct.
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