orianacortes4938 orianacortes4938
  • 13-05-2020
  • Mathematics
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How do I simplify 9rw^4/2r^3w^5 using only positive exponents

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ItzMikeSS
ItzMikeSS ItzMikeSS
  • 13-05-2020

Answer: [tex]\frac{9}{2r^2w}[/tex]

Step-by-step explanation:

[tex]\frac{9rw^4}{2r^3w^5}[/tex]

Subtract exponents.

[tex]r^1^-^3=r^-^2[/tex]

[tex]w^4^-^5=w^-^1[/tex]

To keep these exponents positive, put them in the denominator. Another way of looking at this is, we have more r's in the denominator than the numerator, therefore, after subtracting, keep it in the side with the higher exponent.

[tex]\frac{9}{2r^2w}[/tex]

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