Question

I WILL GUVE BRAINLIEST PLEASE HELPPPP pLz algebra one

Answer 1

Answer:

$\displaystyle L=4x^{4}y^{8}z^{12}$

Step-by-step explanation:

The Volume of Rectangular Prism

Given a rectangular prism of width W, height H, and length L, its volume is calculated as follows:

V = WHL

We are given the volume of a rectangular prism:

$V=72x^8y^{14}z^{22}$

It's also known the width is:

$W=6x^3y$

And height

$H=3xy^5z^{10}$

Substituting in the formula, we solve for L:

$72x^8y^{14}z^{22}=(6x^3y)*(3xy^5z^{10})L$

$\displaystyle L=\frac{72x^8y^{14}z^{22}}{(6x^3y)*(3xy^5z^{10})}$

Operating the denominator

$\displaystyle L=\frac{78x^8y^{14}z^{22}}{18x^4y^6z^{10}}$

Dividing:

$\displaystyle L=4x^{8-4}y^{14-6}z^{22-10}$

Simplifying:

$\boxed{\displaystyle L=4x^{4}y^{8}z^{12}}$