Simplify Cube Root Expression
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2. $\sqrt[3]{64x^6 y^4}$
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Step by Step Written Solution
In this problem, we are asked to simplify the expression, the cube root of sixty four, times x to the sixth, times y to the fourth.
Simplifying Radicals
To simplify a cube root, we can use the property that the cube root of a product is the product of the cube roots of its individual factors.
Let's look at the first term, the cube root of sixty four. Since four cubed is sixty four, the cube root of sixty four is simply four.
Next, for the variable x, we take the cube root of x to the sixth. We divide the exponent six by the index three to get two. So, this simplifies to x squared.
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