Exercise
$w\sqrt{24x^3}-4x\sqrt{6xw^2}$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression w(24x^3)^(1/2)-4x(6xw^2)^(1/2). The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt{x^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}{2}.
Simplify the expression w(24x^3)^(1/2)-4x(6xw^2)^(1/2)
Final answer to the exercise
$\sqrt{24}w\sqrt{x^{3}}-4\sqrt{6}x^{\frac{3}{2}}w$