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

Solve the following problem:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Solve the following problem:

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

2

Step-by-step solution

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

(x⋅y⋅z)×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

3

Final Answer

z2 z^2

Practice Quiz

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\( 100-(5+55)= \)

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