Для любых чисел \( m,\, n,\, p\) и \( q\) найдите показатели степеней выражения: \( (10mn)^{10}\cdot (2+5np)^{4}\cdot (9pq+m)^{19}\cdot (2+5np)^{14}\cdot (9pq+m)^{12}\cdot (10mn)^{7} =\) \( =(10mn)\) \( \cdot \,\,(2+5np)\) \( \cdot \,\,(9pq+m)\)

Задание

Для любых чисел \(\displaystyle m,\, n,\, p\) и \(\displaystyle q\) найдите показатели степеней выражения:

\(\displaystyle (10mn)^{10}\cdot (2+5np)^{4}\cdot (9pq+m)^{19}\cdot (2+5np)^{14}\cdot (9pq+m)^{12}\cdot (10mn)^{7} =\)

\(\displaystyle =(10mn)\)

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\(\displaystyle \cdot \,\,(2+5np)\)

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\(\displaystyle \cdot \,\,(9pq+m)\)

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