Đáp án+Giải thích các bước giải:
a, $4^{10}$ . $8^{15}$
= $2^{20}$ . $2^{45}$
= $2^{65}$
b, $4^{15}$ . $5^{30}$
= $4^{15}$ . $25^{15}$
= $(4.25^{15}$
= $100^{15}$
c, $27^{16}$ : $9^{10}$
= $3^{48}$ : $3^{20}$
= $3^{28}$
d, A = $\dfrac{72^{3} . 54^{2}}{108^{4}}$
= $\dfrac{2^{9} . 3^{6} . 2^{2} . 3^{6}}{2^{8} . 3^{12}}$
= $\dfrac{2^{11} . 3^{12}}{2^{8} . 3^{12}}$
= $2^{3}$
= 8
e, B = $\dfrac{3^{10} . 11 + 3^{10} . 5}{3^{9} . 2^{4}}$
= $\dfrac{3^{10} .(11 + 5)}{3^{9} . 2^{4}}$
= $\dfrac{3^{10} . 2^{4}}{3^{9} . 2^{4}}$
= 3