Question
Simplify the expression
yx
Evaluate
x2y2xy×yx2y2xyx
Dividing by an is the same as multiplying by a−n
x2y2xyx×x−2×x−1y−2×y−1×y−1
Multiply the terms with the same base by adding their exponents
x2+1+1−2−1y2×y×y−2×y−1×y−1
Calculate the sum or difference
xy2×y×y−2×y−1×y−1
Multiply the terms with the same base by adding their exponents
xy2+1−2−1−1
Calculate the sum or difference
xy−1
Express with a positive exponent using a−n=an1
x×y1
Solution
yx
Show Solution

Find the excluded values
x=0,y=0
Evaluate
x2y2xy×yx2y2xyx
To find the excluded values,set the denominators equal to 0
x2y2xy×y=0
Multiply
More Steps

Evaluate
x2y2xy×y
Multiply the terms with the same base by adding their exponents
x2+1y2×y×y
Add the numbers
x3y2×y×y
Multiply the terms with the same base by adding their exponents
x3y2+1+1
Add the numbers
x3y4
x3y4=0
Separate the equation into 2 possible cases
x3=0y4=0
The only way a power can be 0 is when the base equals 0
x=0y4=0
The only way a power can be 0 is when the base equals 0
x=0y=0
Solution
x=0,y=0
Show Solution
