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a)\(\overline{ab}\cdot101=\overline{ab}\cdot\left(100+1\right)\)
\(=\overline{ab}\cdot100+\overline{ab}\)
\(=\overline{ab00}+\overline{ab}\)
\(=\overline{abab}\)
b)\(\overline{abc}\cdot7\cdot11\cdot13=\overline{ab}\cdot1001\)
\(=\overline{ab}\cdot\left(1000+1\right)\)
\(=\overline{ab}\cdot1000+\overline{ab}\)
\(=\overline{ab000}+\overline{ab}\)
\(=\overline{ab0ab}\)
a / ab.101=ab(100+1)
= ab.100+ab.1
=ab00+ab
=abab
b/ abc.7.11.13=abc.1001
=abc(1000+1)
=abc.1000+abc.1
=abc000+abc=abcabc
a / ab.101=ab(100+1)
= ab.100+ab.1
=ab00+ab
=abab
b/ abc.7.11.13=abc.1001
=abc(1000+1)
=abc.1000+abc.1
=abc000+abc=abcabc
c/a00b.111=a00b.100+a00b.10+a00b
=a00b00+a00b0+a00b
=aaabbb
a) \(\overline{ab}.101=\overline{ab}.\left(100+1\right)\)
\(=\overline{ab}.100+\overline{ab}\)
\(=\overline{ab00}+\overline{ab}\)
\(=\overline{abab}\)
b) \(\overline{abc}.7.11.13=\overline{ab}.1001\)
\(=\overline{ab}.\left(1000+1\right)\)
\(=\overline{ab}.1000+\overline{ab}\)
\(=\overline{ab000}+\overline{ab}\)
\(=\overline{ab0ab}\)