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