queenxx27
queenxx27 queenxx27
  • 01-06-2019
  • Mathematics
contestada

how to simplify this algebra​

how to simplify this algebra class=

Respuesta :

ivyneedshelp
ivyneedshelp ivyneedshelp
  • 01-06-2019
x^0 = 1 because anything to the power of 0 is equal to 1

Negative exponents mean that the base is on the wrong side of the fraction line

A is correct
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gmany
gmany gmany
  • 02-06-2019

Answer:

[tex]\large\boxed{A.\ \dfrac{1}{x^2y^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}[/tex]

[tex]\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

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