Question

Scrieți sub formă de puteri cu exponent număr natural:
$a)25 {}^{10} \times 5 {}^{32} \times 125 {}^{5} \\ b)9 {}^{4} \times 27 {}^{5} \times 3 {}^{14} \\ c)2 {}^{15} \times 4 {}^{12} \times 8 {}^{6}$

Answer 1

$a) {25}^{10} \times {5}^{32} \times {125}^{5} = {5}^{20} \times {5}^{32} \times {5}^{15} = {5}^{20 + 32 + 15} = {5}^{67}$

$b) {9}^{4} \times {27}^{5} \times {3}^{14} = {3}^{8} \times {3}^{15} \times {3}^{14} = {3}^{8 + 15 + 14} = {3}^{37}$

$c) {2}^{15} \times {4}^{12} \times {8}^{6} = {2}^{15} \times {2}^{24} \times {2}^{18} = {2}^{15 + 24 + 18} = {2}^{57}$