Assuming xx and yy are both positive, write the following expression in simplest radical form.5, x, cubed, square root of, 36, x, to the power 4 , y, to the power 4 , end square root5x 3 36x 4 y 4
Question
Assuming xx and yy are both positive, write the following expression in simplest radical form.5, x, cubed, square root of, 36, x, to the power 4 , y, to the power 4 , end square root5x 3 36x 4 y 4
Solution
The expression you provided seems to be a bit unclear, but I'm assuming you're asking to simplify the expression: 5x^3 * sqrt(36x^4y^4). Here's how you can simplify it:
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Break down the square root: sqrt(36x^4y^4) can be broken down into sqrt(36)*sqrt(x^4)*sqrt(y^4).
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Simplify the square roots: sqrt(36) is 6, sqrt(x^4) is x^2 (since x is positive), and sqrt(y^4) is y^2 (since y is positive).
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So, sqrt(36x^4y^4) simplifies to 6x^2y^2.
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Multiply this with the other part of the expression: 5x^3 * 6x^2y^2 = 30x^5y^2.
So, the simplified form of the expression 5x^3 * sqrt(36x^4y^4) is 30x^5y^2.
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