Question

Ex nr1. Va eoog,ajutati-ma! Face-ti macar jumatate sin exercitii cine le face pe toate ii dau coroana.

Answer 1

1.

$a)2^{2}\cdot 2^{4}\cdot 2^{6} =2^{2+4+6}=2^{12} \\ \\b)5^{1}\cdot 5^{2}\cdot 5^{3} =5^{1+2+3}=5^{6}\\ \\ c)3^{8}\cdot 3^{12}\cdot 3^{10}\cdot3^{4}=3^{8+12+10+4}=3^{34}\\ \\d)10^{4}\cdot10^{1}\cdot10^{0} =1^{4+1+0}=10^{5}\\ \\ e)2^{5}\cdot4=2^{5}\cdot2^{2}=2^{5+2}=2^{7}\\ \\f)5^{6}\cdot 25\cdot5 =5^6\cdot5^{2}\cdot5=5^{6+2+1}=5^{9}$

$g)2^{1}\cdot 2^{2}\cdot 2^{3}\cdot8=2^{1}\cdot 2^{2}\cdot 2^{3}\cdot2^{3}=2^{1+2+3+3}=2^{9}$

$h)2^{1}\cdot4\cdot 8 =2^{1}\cdot 2^{2}\cdot 2^{3} =2^{1+2+3}=2^{6}$

$i)2^{10}:2^{6}=2^{10-6}=2^{4}\\ \\ j)7^{9}:7^{5}=7^{9-5}=7^{4}$

$k)15^{21}:15^{17}=15^{21-17}=15^{4}\\ \\ l)10^{56}:10^{49}=10^{56-49}=10^{7}$

$m) =1;n) =1001^{37}; o)2^{15};p)5^{30};r)11^{42};s)2^{5\cdot3\cdot4}=2^{60}$

$t)(1^{4})^{15}=1$

$u)3^{4\cdot7\cdot5\cdoyt2}=3^{280}$