Solve (x·y·z) ÷ (xy/z): Complex Variable Expression Division

Question

Solve the following problem:

(xyz):xyz=? (x\cdot y\cdot z):\frac{xy}{z}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Division is also multiplication by reciprocal
00:14 Make sure to multiply numerator by numerator and denominator by denominator
00:24 Simplify what we can
00:28 And this is the solution to the question

Step-by-Step Solution

Let's flip the fraction to get a multiplication exercise:

(xyz)×zxy= (x\cdot y\cdot z)\times\frac{z}{xy}=

We'll add the multiplication exercise in parentheses to the numerator of the fraction:

x×y×z×zxy= \frac{x\times y\times z\times z}{xy}=

We'll simplify the x and y in the numerator and denominator of the fraction:

z×z1=z2 \frac{z\times z}{1}=z^2

Answer

z2 z^2