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Simplify the expression:

[tex]\[ \frac{r^{-4}}{3 s^5} \][/tex]

Sagot :

GinnyAnswer
Sure, let's simplify the given expression step-by-step:

Given expression: [tex]\(\frac{r^{-4}}{3 s^5}\)[/tex]

Step 1: Recall the rule for negative exponents. A negative exponent [tex]\(\frac{1}{a^n}\)[/tex] can be rewritten as [tex]\(a^{-n} = 1/a^n\)[/tex]. Therefore, [tex]\(r^{-4}\)[/tex] can be rewritten as [tex]\(\frac{1}{r^4}\)[/tex].

Step 2: Substitute this into the expression:
[tex]\[ \frac{\frac{1}{r^4}}{3 s^5} \][/tex]

Step 3: Simplify the fraction inside the fraction:
[tex]\[ = \frac{1}{3 r^4 s^5} \][/tex]

So the simplified expression is:
[tex]\[ \frac{1}{3 r^4 s^5} \][/tex]

Thus, the final result is:
[tex]\[ \frac{1}{3 r^4 s^5} \][/tex]
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