1.
a. $125=5^3$
b. $27=3^3$
c. $128=2^7$
d. $512=8^3$
2.
a.
$4^4.4^5=4^{4+5}=4^9$
$27.3^5=3^3.3^5=3^{3+5}=3^8$
$32.64=2^5.2^6=2^{5+6}=2^{11}$
b.
$9^8:9=9^{8-1}=9^7$
$128:2^4=2^7:2^4=2^{7-4}=2^3$
$3^9:243=3^9:3^5=3^{9-5}=3^4$
c.
$3.12^6.4.12^4=(3.4).12^6.12^4=12.12^6.12^4=12^{1+6+4}=12^{11}$
$15^6.3.15^3.5=15^6.15.15^3=15^{6+1+3}=15^{10}$
$21^3.7.21^4.3=21^3.21.21^4=21^{3+1+4}=21^8$
3.
1 - c
2 - b
3 - a
4 - Không có kq nào đúng để nối.
4.
a. $5^x.25=125$
$5^x.5^2=5^3$
$5^x=5^3:5^2=5^1$
$x=1$
b. $243:3^x=27$
$3^5:3^x=3^3$
$3^x=3^5:3^3=3^2$
$x=2$
c. $2^{x+2}=64=2^6$
$x+2=6$
$x=4$