Question

> 4. Aplicând regula de înmultire a puterilor cu acelasi exponent, scrieti sub forma unei singure puten a) 3-71 b) 7-5 c) 24 5-74. d) 5-2 e) 15
$va \: rug \: frumus \: dau \: curuna \: si \: 100 \: de \: oquncte$
2-112 f) 6.70.220 sinoure puteri​

Answer 1

Răspuns:

$\bf a)~~ 3^{16} \cdot 7^{16}= \big(3 \cdot 7\big)^{16}= \green{21^{16}}$

$\bf b)~~ 7^{10} \cdot 5^{10}= \big(7 \cdot 5\big)^{10}= \blue{35^{10}}$

$\bf c)~~2^{34} \cdot5^{34} \cdot7^{34} = \big(2 \cdot 5\cdot7\big)^{34}= \purple{70^{34}}$

$\bf d)~~ 5^{4} \cdot 2^{4}= \big(5 \cdot 2\big)^{4}= \pink{10^{4}}$

$\bf e)~~ 15^{12} \cdot 11^{12}= \big(15 \cdot 11\big)^{12}= \red{165^{12}}$

$\bf f)~~6^{30} \cdot7^{30} \cdot2^{30} = \big(6 \cdot 7\cdot2\big)^{30}= \blue{84^{30}}$