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What is 0.000001 written as a power of ten? A.10 ^-5 B.10 ^-6 C.10 ^-7 D.10 ^-8
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2 votes
What is 0.000001 written as a power of ten?

A.10 ^-5


B.10 ^-6


C.10 ^-7


D.10 ^-8

User Mark Ryan Orosa
by
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1 Answer

5 votes

a^(-n)=(1)/(a^n)\\\\10^(-n)=(1)/(10^n)=0.\underbrace{000...1}_(n)\\\\\text{examples:}\\\\10^(-2)=(1)/(10^2)=(1)/(100)=0.\underbrace{01}_(2) \\10^(-4)=(1)/(10^4)=(1)/(10,000)=0.\underbrace{0001}_(4)\\\\\text{therefore}\\\\0.\underbrace{000001}_(6)=10^(-6)\\\\\text{Answer:}\ \boxed{B.\ 10^(-6)}
User DerHugo
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