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y^2 X y^3 = y^(2 + 3) = y^5
You can only do this if the coefficient 'y' is the same for both terms.
Remember
y^2 = y X y
y^3 = y X y X y
Hence
y^2 X y^3 = y X y X y X y X y = y^5
Similarly for division/subtraction
y^3 / y^2 = y^(3 - 2 ) = y^1 = y The power of '1' is trivial and not normally shown.
NB You CANNOT do z^2 X y^3 by adding the indices.
z^2 X y^3 is (z^2)*(y^3)
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What is 2xy?
In mathematics, the expression 2xy represents the product of the number 2 and the variables x and y. This expression is known as a monomial, specifically a binomial because it consists of two terms. When simplified, 2xy cannot be further reduced unless additional information about the variables x and y is provided.
The regression equation is determined by minimizing?
The total squared error between the predicted y values and the actual y values
Is area cubed or squared?
Area is squared. In mathematics, area is a two-dimensional measurement of the size of a shape, typically measured in square units (such as square meters or square feet). The formula for calculating the area of a shape involves multiplying two linear dimensions (such as length and width), resulting in a value with units squared. Cubing a linear dimension would result in a measurement of volume, not area.
What is 64 cube?
The cubed root of 64 is 4. 4*4*4=64.
How do you calculate mean squared error?
The Mean Squared Error (MSE) is a measure of how close a fitted line is to data points. For every data point, you take the distance vertically from the point to the corresponding y value on the curve fit, this is known as the error, and square the value. Next you add up all those values for all data points, and divide by the number of points. The reason for squaring is so negative values do not cancel positive values. The smaller the Mean Squared Error, the closer the fit is to the data. The MSE has the units squared of whatever is plotted on the vertical axis.
What is the difference between 3 squared and 3 cubed?
3 squared is 3 to the 2nd power, or 3 multiplied by 33 squared=3x3=93 cubed is 3 to the 3rd power or 3 multiplied by 3 multiplied by 33 cubed=3x3x3=27
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9y cubed plus 2y squared
What is 4x cubed y cubed z divided by x negative squared y negative 1 z sqaured?
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X squared plus y squared minus 1 all cubed then minus the product of x squared times y cubed that all equals 0 How do you solve for y?
You have to put your heart into it!
What is 2y squared times y cubed?
2y squared * y cubed= 2y^5 (2y to the fifth power)
How do you factor x cubed plus 3xsquaredy plus 3xy squared plus y cubed?
(x + y)(x + y)(x + y)
What is 96050 multiplied by 1000 cubed?
1000 squared is a mllion 1000 cubed is a billion 96,050 billion =96.050 trillion
What is y multiplied by y?
It is y^2 or y squared
What is x multiplied by x squared?
x to the third power or x cubed x 3
How do you simplify open parenthesis x squared y close parenthesis times open parenthesis y z close parenthesis times open parenthesis x y z close parenthesis?
x cubed y cubed z squared
What is x minus 1 cubed?
xcubed-1 Answer::(X-1)(Xsquared+X+1) when you factor xcubed minus a number its the same thing as x cubed minus y cubed and x cubed minus y cubed factors to:: (x-y)(xsquared+xy+y squared) the first factor, (x-y), is the cubed root of the first and the cubed root of the second, so in the answer i have (x-1), which is x cubed minus one cubed :) the second factor, (xsquared+xy+ysquared), you take the first number squared, Xsquared, then the first and second one multiplied together, XY, and then the second number squared, Ysquared, so in the answer i have (xsquared+x+1), which is x squared, then x times 1 which is just x, and positive 1, which is negative 1 squared :) x^3 - 1
What is the least common multiple of x squared y cubed and z?
Their product.
