Đáp án:
a) Ta có
$3^4.3^5 = 3^{4 + 5} = 3^9$
$16.2^9 = 2^4.2^9 = 2^{4 + 9} = 2^{13}$
$16 . 32 = 2^4 . 2^5 = 2^{4 + 5} = 2^9$
b) Ta có
$12^8 : 12 = 12^{8-1} = 12^7$
$243 : 3^4 = 3^5 : 3^4 = 3^{5-4} = 3^1$
$10^9 : 10.000 = 10^9 : 10^5 = 10^{9-5} = 10^4$
$4.8^6.2.8^3 = 4.2.8^6.8^3 = 8.8^6.8^3 = 8^{1 + 6 + 3} = 8^{10}$
$12^2.2.12^3.6 = 12^2.12^3.2.6 = 12^2.12^3.12 = 12^{2 + 3 + 1} = 12^6$
$6^3 . 2 . 6^4 . 3 = 6^3 . 6^4 . 2.3 = 6^3 . 6^4 . 6 = 6^{3 + 4 + 1}= 6^8$