Question

COME ON DC NU AJUTA NIMENI
A) 2 * 2 la puterea 5 * 2 la puterea 7
b) 7 la puterea 6 * 7 la puterea 3 * 7
c) 11 la puterea 0 * 11*11 la puterea 11
d) 2 la puterea 0*2 la puterea 1*2 la puterea 2*...*2 la puterea 9
e) (2 la puterea 5) la puterea 15
f) (5 la puterea 6) la puterea 7
g) 2 la puterea 135 : 2 la puterea 100
h) 5 la puterea 32:5 la puterea 23
Dau coroana plssssss

Answer 1

$a) 2\cdot2^{5}\cdot2^{7}=2^{1+5+7}=2^{13}\\ \\b)7^{6}\cdot7^{3}\cdot7=7^{6+3+1}=7^{10}$

$c)11^{0}\cdot11^{1}\cdot11^{11}=11^{0+1+11}=11^{12}$

$d)2^{0}\cdot2^{1}\cdot2^{2}......\cdot2^{9} =2^{0+1+2+....9} \\ \\ 0+1+2+3+....+9=(9\cdot10):2=45\\ \\ = 2^{45}$

$e)(2^{5})^{15} =2^{5\cdot15}=2^{75}$

$f)(5^{6})^{7}=5^{6\cdot7}=5^{42}$

$g)2^{135}:2^{100}=2^{135-100}=2^{35}$

$h)5^{32}:5^{23}=5^{32-23}=5^{9}$