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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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: you need the equation in the question so i can answer it

step-by-step explanation: