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Determine the coefficient and degree of the monomial.

-7x^(2)y^(5)
The coefficient of the monomial is
The degree of the monomial is
◻.

Determine the coefficient and degree of the monomial. $\newline$ $-7 x^{2} y^{5}$ $\newline$ The coefficient of the monomial is $\newline$ The degree of the monomial is $\square$ .

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Find the magnitude of a vector

Full solution

Q. Determine the coefficient and degree of the monomial.

\newline

-7 x^{2} y^{5}

\newline

The coefficient of the monomial is

\newline

The degree of the monomial is

\square

.

Identify Coefficient: To find the coefficient of the monomial, we need to identify the numerical part of the term that is multiplying the variables. In the monomial $-7x^{2}y^{5}$ , the coefficient is the number $-7$ .
Find Degree: To find the degree of the monomial, we need to add the exponents of all the variables in the term. In the monomial $-7x^{2}y^{5}$ , the degree is the sum of the exponents of $x$ and $y$ , which are $2$ and $5$ , respectively. $\newline$ Degree = $2$ (from $x^{2}$ ) + $5$ (from $y^{5}$ ) = $7$

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