how would you solve something like this
2xy X 3y X -y
______________
2xy X 3xy X x
The X are multiplication
MY answer is -y over x2y the 2 goes above the x
it's better online to use * for multiplication, and ^ for exponents.
Using that, we have
(2xy * 3y * -y)/(2xy * 3xy * x)
= -6xy^3 / 6x^3y^2
= -y/x^2
Your answer is correct
To solve the expression (2xy * 3y * -y) / (2xy * 3xy * x), let's break it down step-by-step:
Step 1: Simplify the numerator (top part) of the fraction.
(2xy * 3y * -y) can be simplified by multiplying the coefficients (numbers) and adding the exponents of the same variables.
2 * 3 * (-1) = -6 (the coefficient)
x^1 * x^0 * x^0 = x^(1+0+0) = x^1 = x (the variable)
So, the simplified numerator is -6xy.
Step 2: Simplify the denominator (bottom part) of the fraction.
(2xy * 3xy * x) can be simplified using the same rules as before.
2 * 3 = 6 (the coefficient)
x^1 * x^1 * x^1 = x^(1+1+1) = x^3 (the variable)
So, the simplified denominator is 6x^3y.
Step 3: Write the final simplified expression.
Now that we have the simplified numerator and denominator, we can write the expression as a fraction:
(-6xy) / (6x^3y)
Step 4: Simplify further, if possible.
In this case, we can reduce the coefficient 6 with -6, leaving us with -1:
(-1xy) / (x^3y)
Step 5: Rewrite the expression in a simplified form.
To make it easier to read, it's common practice to write variables in alphabetical order:
(-1xy) / (x^3y) = -x / (x^3y)
Final Answer:
The simplified expression for (2xy * 3y * -y) / (2xy * 3xy * x) is -x / (x^3y).