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MissPhiladelphia

Hi, thank you for posting your question here at Brainly. Just take the negative exponents so that you can transfer the denominator to the numerator. The final answer would be

0.375a^2b^3c^5x^-4y^-3z^-1

The whole numbers 3 divided by 8 was simplified to 0.375 to make all terms the numerator, or to get rid of fractions.

I hope I was able to help. Have a good day.

isyllus

Answer:

\(\Rightarrow 3\times a^2\times b^3\times c^5\times 8^{-1}\times x^{-4}\times y^{-3}\times z^{-1}\)

Step-by-step explanation:

Given: \(\dfrac{3a^2b^3c^5}{8x^4y^3z}\)

Using exponent law:

\(\dfrac{1}{x^m}=x^{-m}\)

If we move denominator to numerator write minus sign with the exponent.

We need to simplify without denominator.

So, we have to move numerator to denominator using exponent law.

\(\Rightarrow \dfrac{3a^2b^3c^5}{8x^4y^3z}\)

\(\Rightarrow 3\times a^2\times b^3\times c^5\times 8^{-1}\times x^{-4}\times y^{-3}\times z^{-1}\)

So, we changed denominator to numerator by changing their exponent.

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