Question

Aplicând regula de înmulțire a puterilor cu același exponent, scrieţi sub forma unei singure puteri numerele: a 213.313, b 411.511; c727 927; d 375.475.575; e 3241.241; f873.573. 273.​

Answer 1

Răspuns:

Explicație pas cu pas:

$\bf a)~~2^{13} \cdot 3^{13}=\big(2\cdot3\big)^{13} = \green{6^{13} }$

$\bf b)~~4^{11} \cdot 5^{11}=\big(4\cdot5\big)^{11} = \orange{20^{11} }$

$\bf c)~~7^{27} \cdot 9^{27}=\big(7\cdot9\big)^{27} = \blue{63^{27} }$

$\bf d)~~3^{75} \cdot 4^{75}\cdot 5^{75}=\big(3\cdot4\cdot 5\big)^{75} = \pink{60^{75} }$

$\bf e)~32^{41} \cdot 2^{41}=\big(32\cdot2\big)^{41}= 64^{41} =\big(2^{6}\big)^{41}= \purple{2^{246} }$

$\bf f)~~8^{73} \cdot 5^{73}\cdot 2^{73}=\big(8\cdot5\cdot 2\big)^{73} = \red{80^{73}}$