What is the value of $x$ in $\left(4^{x}\right)^{3}=4^{36} ?$

Step 1 ：Given the equation: \(\left(4^{x}\right)^{3}=4^{36}\)

Step 2 ：Using the property of exponents: \((a^m)^n = a^{mn}\), we get: \(4^{3x} = 4^{36}\)

Step 3 ：Since the bases are equal, we can equate the exponents: \(3x = 36\)

Step 4 ：Divide both sides by 3: \(x = \frac{36}{3}\)

Step 5 ：Simplify: \(x = 12\)

Step 6 ：Final Answer: \(\boxed{12}\)