Giải bài tập 4 SGK Cánh Diều Toán 6 tập 1 trang 25.
a) $3^{4}.3^{5}=3^{4+5}=3^{9}$;
$16.2^{9}=2^{4}.2^{9}=2^{4+9}=2^{13}$;
16.32 = $2^{4}.2^{5}=2^{4+5}=2^{9}$
b) $12^{8}:12=12^{8}:12^{1}=12^{8-1}=12^{7}$;
$243:3^{4}=3^{5}:3^{4}=3^{5-4}=3^{1}$;
$10^{9}:10 000=10^{9}:10^{4}=10^{9-4}=10^{5}$
c) $4.8^{6}.2.8^{3}=4.2.8^{6}.8^{3}=8.8^{6}.8^{3}=8^{1}.8^{6}.8^{3}=8^{1+6+3}=8^{10}$;
$12^{2}.2.12^{3}.6=12^{2}.12^{3}.2.6=12^{2}.12^{3}.12=12^{2+3+1}=12^{6}$;
$6^{3}.2.6^{4}.3=6^{3}.6^{4}.2.3=6^{3}.6^{4}.6=6^{3+4+1}=6^{8}$