What is the expression $(x^2z^3)(xy^2z)$ is equivalent to?

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Answer 1 · 2017-08-19T14:55:00

See a solution process below:

We can rewrite the expression as:

$(x^2 * x)y^2(z^3 * z)$

Next, we can use these rules of exponents to multiply the $x$ and $z$ terms:

$a = a^color(blue)(1)$ and $x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))$

$(x^2 * x)y^2(z^3 * z) =>$

$(x^color(red)(2) * x^color(blue)(1))y^2(z^color(red)(3) * z^color(blue)(1)) =>$

$x^(color(red)(2)+color(blue)(1))y^2z^(color(red)(3)+color(blue)(1)) =>$

$x^3y^2z^4$

What is the expression (x^2z^3)(xy^2z)(x^2z^3)(xy^2z) is equivalent to?