Question

Pleasee 30pts!! Which expression is equivalent to the given expression? Assume the denominator does not equal zero. cd^4/c^2d^8

Answer 1

$\frac{1}{cd^4}$

Given expression is $\frac{cd^4}{c^2d^8}$.

The denominator not equal to zero.

That is $c^2d^8\neq 0$.

Apply exponential rule in the denominator: $a^{m+n}=a^ma^n$

So, $c^2d^8$ can be written as $(cd^4)(cd^4)$.

$\frac{cd^4}{c^2d^8}=\frac{cd^4}{(cd^4)(cd^4)}$

Cancel the common factors in the numerator and denominator.

$\frac{cd^4}{(cd^4)(cd^4)}=\frac{1}{cd^4}$

Hence the equivalent expression is $\frac{1}{cd^4}$.

Answer 2

Answer:

1/cd^4

Step-by-step explanation:

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