$x=0.0\overline{5}\\\\x=0.0555...\qquad\text{multiply both sides by 10}\\\\10x=0.555...\qquad\text{multiply both sides by 10}\\\\100x=5.555...\\\\\text{Make the difference:}\\\\100x-10x=5.555...-0.555...\\\\90x=5\qquad\text{divide both sides by 90}\\\\x=\dfrac{5}{90}\\\\x=\dfrac{5:5}{90:5}\\\\x=\dfrac{1}{18}\\\\Answer:\ \boxed{0.0\overline{5}=\dfrac{1}{18}}\to\boxed{C)}$

6 0

3 years ago

What is the simplified form of i14

cestrela7 [59]

Answer:

-1

Step-by-step explanation:

Rewrite i 14 as ( i 4 ) 3 × i 2 . If i = √ − 1 , then i 2 = − 1 .

From here ( i 2 ) 2 = ( − 1 ) 2 , so i 4 = 1 . If i 4 = 1 ,

then we can say that: i 14 = ( 1 ) 3 × i 2 = i 2 = − 1

7 0

3 years ago

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