luisaureliojimenez luisaureliojimenez
  • 02-12-2019
  • Mathematics
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Simplify this expression and write the result using positive exponents only​

Simplify this expression and write the result using positive exponents only class=

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 02-12-2019

Answer:

[tex]\displaystyle 5b^{-4}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5b^{-4} = (-5a^4b^{-7})(-a^{-4}b^3) \\ \\ \frac{5}{b^4} = 5b^{-4}[/tex]

According to the Negative Exponential Rule [part II], you bring the denominator to the numerator WHILE ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

[tex]\displaystyle b^{-n} = \frac{1}{b^n}[/tex]

I am joyous to assist you anytime.

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