valdezg27 valdezg27
  • 17-10-2020
  • Mathematics
contestada

What expressions are equivalent to 10^-5x10^2

What expressions are equivalent to 105x102 class=

Respuesta :

hajora03
hajora03 hajora03
  • 17-10-2020

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

[tex]10^{-5}[/tex]×[tex]10^{2}[/tex]

=[tex]10^{-5+2}[/tex]

=[tex]10^{-3}[/tex]

this is the same as:

=[tex]\frac{1}{10^{3} } =\frac{1}{1000}[/tex] (as [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

or

[tex](\frac{1}{10})^{3}[/tex] (as this is the same as [tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex] which is equal to [tex]\frac{1}{1000}[/tex] the answer for the question)

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