Math

QuestionFind the equivalent expression for cd4c2d8\frac{c d^{4}}{c^{2} d^{8}}.

Studdy Solution

STEP 1

Assumptions1. The given expression is cd4cd8\frac{c d^{4}}{c^{} d^{8}} . We are looking for an equivalent expression

STEP 2

We can simplify the given expression by dividing the numerator and the denominator by cd4cd^4.
cd4c2d8=cd4cd4×1cd4\frac{c d^{4}}{c^{2} d^{8}} = \frac{c d^{4}}{cd^4} \times \frac{1}{c d^{4}}

STEP 3

implify the expression.
cdc2d8=1cd\frac{c d^{}}{c^{2} d^{8}} = \frac{1}{c d^{}}

STEP 4

We can further simplify the expression by separating the variables.
1cd4=1c×1d4\frac{1}{c d^{4}} = \frac{1}{c} \times \frac{1}{d^{4}}

STEP 5

The equivalent expression of cd4c2d8\frac{c d^{4}}{c^{2} d^{8}} is 1c×1d4\frac{1}{c} \times \frac{1}{d^{4}}.
So, the equivalent expression is 1c×1d4\frac{1}{c} \times \frac{1}{d^{4}}.

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