12x^20 y^8
is the answer
2 √͞ 3x^10y^4
i ask bec i checked a radical calculator but it said
2y^4 x^10 √͞ 3
cab you explain the steps if I am wrong
thank you
Nothing can be done to 12x^20 y^8 in terms of simplifying it.
Did you type it correctly?
What were the instructions for the question?
yes, i typed it wrong
it should be:
simplify:
√͞ 12x^20 y^8
is the answer
2 √͞ 3x^10y^4
i ask bec i checked a radical calculator but it said
2y^4 x^10 √͞ 3
cab you explain the steps if I am wrong
thank you
To simplify the expression 12x^20 y^8, we can rewrite it as:
12 * (x^10) * (x^10) * (y^4) * (y^4)
To simplify the square roots, we need to separate the coefficients and the variables. The coefficient in this case is 12, which can be split as 2 * 6.
So the expression becomes:
2 * 6 * (x^10) * (x^10) * (y^4) * (y^4)
Now we can simplify the square roots individually:
2 * √(6) * √(x^10) * √(x^10) * √(y^4) * √(y^4)
√(x^10) can be simplified as x^(10/2) = x^5 because the square root exponent cuts the power in half.
√(y^4) can be simplified as y^(4/2) = y^2.
So the expression becomes:
2 * √(6) * (x^5) * (x^5) * (y^2) * (y^2)
Further simplifying:
2 * √(6) * (x^5) * (x^5) * (y^2) * (y^2) = 2 * √(6) * x^10 * y^4
So, the simplified form of 12x^20 y^8 is 2√(6) * x^10 * y^4.
The order of the variables can be rearranged depending on personal preference. Both your answer (2√(3) * x^10 * y^4) and the radical calculator's answer (2y^4 * x^10 * √(3)) are correct and equivalent.