Exercise
$\sqrt[6]{2^{12}\cdot3^{24}}$
Step-by-step Solution
Learn how to solve radical expressions problems step by step online. Simplify the expression with radicals (2^12*3^24)^(1/6). Calculate the power 2^{12}. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt[6]{4096}. Simplify \sqrt[6]{3^{24}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 24 and n equals \frac{1}{6}.
Simplify the expression with radicals (2^12*3^24)^(1/6)
Final answer to the exercise
$324$