Simplifying a Ratio of Multivariate Monomials Calculator
x y
x y
Result
What is Simplifying a Ratio of Multivariate Monomials Calculator?
With monomials like 12x²y³ : 4xy², simplify each variable's exponent independently.
Simplifying 12x²y³ : 4xy²
1
Coefficients
12÷4 = 3 : 1
→
2
x exponents
x²÷x¹ = x¹
→
3
y exponents
y³÷y² = y¹
→
✓
Result
3xy : 1
Simplifying a Ratio of Multivariate Monomials Calculator Formula
Treat each variable as its own mini-problem.
Step 1: Coefficients
Find GCF of numeric parts
Step 2: x variable
Subtract exponents
Step 3: y variable
Subtract exponents
Practice Examples
18x³y² : 6xy
= 3x²y : 1
8x²y⁴ : 4x²y²
= 2y² : 1
5xy : 15x³y⁵
= 1 : 3x²y⁴
FAQ
FAQ: Multivariate Monomials
Questions on multi-variable monomial simplification.
An algebraic expression of a single term that contains two or more variables, such as 3x²y³.
Simplify the constant coefficients using their GCF, then apply exponent rules independently to each corresponding variable across the ratio.