Two xy3 with a power 4. X2 y with power 3
To simplify this expression, we can multiply the coefficients and add the exponents of like terms.
First, let's multiply the coefficients:
2 * 1 = 2
Now let's add the exponents for each variable:
x^3 * x^3 = x^(3 + 3) = x^6
y^4 * y^3 = y^(4 + 3) = y^7
Therefore, the simplified expression is:
2x^6y^7
To simplify the expression, let's multiply the like terms:
(2xy^3)^4 * (x^2y^3)
First, let's simplify (2xy^3)^4:
(2xy^3)^4 = (2^4) * (x^4) * (y^12) = 16x^4y^12
Now, let's multiply the simplified term with x^2y^3:
16x^4y^12 * x^2y^3 = 16x^6y^15
Therefore, the simplified expression is 16x^6y^15.
It seems like you are referring to an algebraic expression involving variables and exponents. Let me explain how to simplify this expression.
First, let's break down the expression: "Two xy^3 with a power of 4, multiplied by x^2y with a power of 3."
To simplify this, we need to combine the like terms and use the properties of exponents.
The term "Two xy^3 with a power of 4" can be written as (2xy^3)^4. To simplify it, we raise each part of the expression inside the parentheses (2, x, y) to the fourth power:
(2xy^3)^4 = 2^4 * (x)^4 * (y)^12 = 16x^4y^12.
Next, we have the term "x^2y with a power of 3", which can be written as (x^2y)^3. We need to raise each part of the expression inside the parentheses (x, y) to the third power:
(x^2y)^3 = (x^2)^3 * (y)^3 = x^6y^3.
To simplify the expression further, we need to multiply these two terms together:
(16x^4y^12) * (x^6y^3) = 16 * x^4 * x^6 * y^12 * y^3 = 16x^(4+6)y^(12+3) = 16x^10y^15.
So the simplified form of the expression "Two xy^3 with a power 4, multiplied by x^2y with a power 3" is 16x^10y^15.