Pergunta
1)a nlicando a p da de s de notên cia: a) 5^7cdot 5^2= b) 3^9:3^4= c) 8^5:8^-3= d) 7^5-7^3= e) (7^3)^2= f) (5+2)^2= (3.7)^5cdot (3.7)^2= g) (5xy^2)cdot (2x^2y^3)= (a^2cdot b)^2cdot (acdot b)^3= h) i)
Solução
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RubenMestre · Tutor por 5 anos
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a) $5^{7}\cdot 5^{2} = 5^{7+2} = 5^{9}$<br /><br />b) $3^{9}:3^{4} = 3^{9-4} = 3^{5}$<br /><br />c) $8^{5}:8^{-3} = 8^{5-(-3)} = 8^{8}$<br /><br />d) $7^{5}-7^{3} = 7^{3}(7^{2}-1)$<br /><br />e) $(7^{3})^{2} = 7^{3\cdot2} = 7^{6}$<br /><br />f) $(5+2)^{2} = 7^{2}$<br /><br />$(3.7)^{5}\cdot (3.7)^{2} = (3.7)^{5+2} = (3.7)^{7}$<br /><br />g) $(5xy^{2})\cdot (2x^{2}y^{3}) = 10x^{3}y^{5}$<br /><br />$(a^{2}\cdot b)^{2}\cdot (a\cdot b)^{3} = a^{4}b^{2}\cdot a^{3}b^{3} = a^{7}b^{5}$
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