Question

PLEASE HELP I INCLUDED THE PROBLEM IN IMAGE I WROTE IT DOWN!!!

Multiply and simplify.



6xy3z⋅3x2yx2



Responses


18x5y4z

18 begin power 5 end power y begin power 4 end power z


18(xyz)10

18 left parenthesis x y z right parenthesis begin power 10 end power


18x4y3z

18 begin power 4 end power y cubed z


9x5y4z

Answer 1

The answer to the expression 6xy^3z ⋅ 3x^2yx^2 is 18x^3y^5z.

Explanation:

To solve the expression, we need to follow the rules of multiplication and simplify the like terms by adding their exponents.

The expression can be written as:

6xy^3z ⋅ 3x^2yx^2

First, we can simplify the expression by multiplying the coefficients and adding the exponents of the variables with the same base. So we have:

6 ⋅ 3 = 18

x^1 ⋅ x^2 ⋅ x^2 = x^(1+2+2) = x^5

y^3 ⋅ y^1 = y^(3+1) = y^4

Substituting these values back into the expression, we get:

18x^5y^4z

However, we can simplify this expression further by rearranging the terms and combining the exponents. So we have:

18x^3y^5z