Exercise
$6\left(\frac{1}{2}x^2\right)^3\left(3y\right)^3$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression 6(1/2x^2)^3(3y)^3. The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power \left(\frac{1}{2}\right)^3. Simplify \left(x^2\right)^3 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 3.
Simplify the expression 6(1/2x^2)^3(3y)^3
Final answer to the exercise
$\frac{81}{4}x^{6}y^3$