is √(18x^7y^6) equal to 3 x superscript 5 baseline y superscript 4 baseline
No, √(18x^7y^6) is not equal to 3x^5y^4.
To simplify the square root of (18x^7y^6), we can break it down into the square root of each factor: √(18) * √(x^7) * √(y^6).
√(18) cannot be simplified further because it does not have any perfect square factors. √(x^7) can be simplified as x^(7/2) because when you take the square root of x^7, you divide the exponent by 2. √(y^6) can be simplified as y^3 because taking the square root of y^6 is the same as dividing the exponent by 2.
Therefore, √(18x^7y^6) can be simplified as √(18) * x^(7/2) * y^3.
This cannot be simplified further and is not equal to 3x^5y^4.
is √(18x^7y^6) equal to 9 x superscript 6 baseline y superscript 5 baseline
No, √(18x^7y^6) is not equal to 9x^6y^5.
To simplify √(18x^7y^6), we can break it down into the square root of each factor: √(18) * √(x^7) * √(y^6).
√(18) can be simplified as √(9 * 2) = √(9) * √(2) = 3√(2).
√(x^7) can be simplified as x^(7/2) because when you take the square root of x^7, you divide the exponent by 2.
√(y^6) can be simplified as y^3 because taking the square root of y^6 is the same as dividing the exponent by 2.
Therefore, √(18x^7y^6) can be simplified as 3√(2) * x^(7/2) * y^3.
This cannot be further simplified and is not equal to 9x^6y^5.