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Zjednodušenie výrazu
Zjednoduš:
\( \normalsize3^2\cdot2^3\cdot5^2\cdot4^2\cdot8\cdot25^2\cdot9 \)
\( =3^{2+2}\cdot2^{3+2+2+2}\cdot5^{2+2+2} \)
\( \normalsize=2^{9}\cdot3^4\cdot5^6 \)
\( =3^{2+1}\cdot2^{3+2+2+3}\cdot5^{2+2+2} \)
\( \normalsize=2^{10}\cdot3^3\cdot5^6 \)
\( =3^{2+2}\cdot2^{3+2+2+3}\cdot5^{2+2+1} \)
\( \normalsize=2^{10}\cdot3^4\cdot5^5 \)
\( =3^{2+2}\cdot2^{3+2+2+3}\cdot5^{2+2+2} \)
\( \normalsize=2^{10}\cdot3^4\cdot5^6 \)