Zjednodušení výrazu
Zjednoduš:
\large 3^{2} \cdot 2^{3} \cdot 5^{2} \cdot 4^{2} \cdot 8 \cdot 25^{2} \cdot 9
= 3^{2 + 2} \cdot 2^{3\ +\ 2\ +\ 2\ +\ 2} \cdot 5^{2\ +\ 2\ +\ 2}
\large = 2^{9} \cdot 3^{4} \cdot 5^{6}
= 3^{2 + 2} \cdot 2^{3\ +\ 2\ +\ 2\ +\ 3} \cdot 5^{2\ +\ 2\ +\ 2}
\large = 2^{10} \cdot 3^{4} \cdot 5^{6}
= 3^{2 + 2} \cdot 2^{3\ +\ 2\ +\ 2\ +\ 3} \cdot 5^{2\ +\ 2}
\large = 2^{10} \cdot 3^{4} \cdot 5^{4}
= 3^{2 + 3} \cdot 2^{3\ +\ 2\ +\ 2\ +\ 3} \cdot 5^{2\ +\ 2\ +\ 2}
\large = 2^{10} \cdot 3^{5} \cdot 5^{6}
Pro zjednodušení mocnin potřebuješ prvočíselný základ čísel a znalost vzorečků pro snadné počítání s mocniteli.
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