Find the degree of the monomial $-3x^2y^3z$.

AlgebraMonomialsDegree of a MonomialPolynomials
2025/3/28

1. Problem Description

Find the degree of the monomial 3x2y3z-3x^2y^3z.

2. Solution Steps

The degree of a monomial is the sum of the exponents of all the variables in the monomial.
The monomial is 3x2y3z-3x^2y^3z.
The exponents are:
xx has an exponent of

2. $y$ has an exponent of

3. $z$ has an exponent of 1 (since $z = z^1$).

The degree of the monomial is 2+3+12 + 3 + 1.
2+3+1=62 + 3 + 1 = 6

3. Final Answer

The degree of the monomial is 6.

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