Multiply and simplify. 6xy^3z⋅3x^2yx^2 a) 18(xyz)^10 b) 9x^5y^4z c) 18x^5y^4z d) 18x^4y^3z

Multiplying and simplifying 6xy³z · 3x²yx² gives;

C: 18x⁵y⁴z

We want to multiply and simplify;

6xy³z · 3x²yx²

Let us first group the like terms to get;

(6 * 3) * (x · x² · x²) * (y³ · y) * z

According to laws of exponents;

a³ × a² = a⁽³ ⁺ ²⁾ = a⁵

Thus;

(6 * 3) * (x · x² · x²) * (y³ · y) * z = 18x⁵y⁴z

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“a term can be a signed number, a variable, or a constant multiplied by a + sign or j sign. in , the terms are 5x , 3y and 8. when a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.” i hope this you.