Exercise
$m^3n^{2\sqrt[4]{m^3n^2}}$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression m^3n^(2(m^3n^2)^(1/4)). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[4]{m^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{4}. Simplify \sqrt[4]{n^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{4}. Multiply the fraction and term in 3\cdot \left(\frac{1}{4}\right).
Simplify the expression m^3n^(2(m^3n^2)^(1/4))
Final answer to the exercise
$m^3n^{2\sqrt[4]{m^{3}}\sqrt{n}}$