Giải thích các bước giải:
Câu 3: a/ $2^6.3^3=(2^2)^3.3^3=4^3.3^3=(4.3)^3=12^3$
b/ $6^4.8^2=(6^2)^2.8^2=36^2.8^2=(36.8)^2=288^2$
c/ $16.81=4^2.9^2=(4.9)^2=36^2$
d/ $25^4.2^8=25^4.(2^2)^4=25^4.4^4=(25.4)^4=100^4$
Câu 4:
a/ $27^4:9^3$
$=(3^3)^4:(3^2)^3$
$=3^12:3^6$
$=3^{12-6}=3^6$
$=729$
b/ $\dfrac{6^2.3^3}{12^2}$
$=\dfrac{6^2.3^3}{(3.2^2)^2}$
$=\dfrac{3^2.2^2.3^3}{3^2.2^4}$
$=\dfrac{3^3}{2^2}$
$=\dfrac{27}{4}$
c/ $\dfrac{12^3.18^2}{24^2}$
$=\dfrac{3^3.4^3.9^2.2^2}{3^2.8^2}$
$=\dfrac{3^3.3^4.2^6.2^2}{3^2.2^6}$
$=3^3.3^2.2^2$
$=27.9.4$
$=972$
d/ $\dfrac{6^3+2.6^2+2^3}{37}$
$=\dfrac{2^3.3^3+2.3^2.2^2+2^3}{37}$
$=\dfrac{2^2(2.3^3+2.3^2+2)}{37}$
$=\dfrac{2^2.74}{37}$
$=2^2.2$
$=4.2$
$=8$
Chúc bạn học tốt !!!
