1.)simplified 2x^4y/6xy^2
I got 1x4y?
2.)(8x^2)(-3x^y)
18x^4y right? I ddnt know what to do with the y
1. 1/x^2 y
If 3x^y
2. -24x^2+y
1. Divide like terms.
(2 x^4 y)/(6 x y^2) = (x^2)/(3 y)
2. Multiply, not add.
(8 x^2)(-3 x^y) = -24 x^(2+y)
To simplify an expression like 2x^4y/6xy^2, we can follow these steps:
Step 1: Simplify the numerical coefficients.
In this case, 2/6 can be simplified to 1/3.
Step 2: Simplify the variables.
We have x^4/x, which can be simplified to x^(4-1) = x^3.
Similarly, y/y^2 can be simplified to y^(1-2) = y^(-1) = 1/y.
Now, combining the simplified numerical coefficient and variables, we have:
(1/3) * (x^3/y).
So, the simplified expression is (1/3)x^3/y.
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For the expression (8x^2)(-3x^y), to simplify and combine the terms, you can apply the product rule of exponents:
Step 1: Multiply the numerical coefficients.
8 * (-3) = -24.
Step 2: Simplify the variables.
For the x terms: x^2 * x^y = x^(2+y) = x^(2+y).
For the y terms: There is no common exponent between -3 and y that can be simplified further, so we keep it as -3x^y.
Combining the simplified numerical coefficient and variables, we have:
-24x^(2+y).
So, the simplified expression is -24x^(2+y). Note that the y does not combine with the x term because they have different exponents.