4.
a.\(A=8.32^4=2^3.\left(2^5\right)^4=2^3.2^{20}=2^{23}\)
b.\(B=27^3.9^4.243^2=\left(3^3\right)^3.\left(3^2\right)^4.\left(3^5\right)^2=3^9.3^8.3^{10}=3^{27}\)
c.\(C=625:5^3=5^4:5^3=5\)
d.\(D=11^5:121=11^5:11^2=11^3\)
5.
\(25< 5^n< 625\)
\(\Rightarrow5^2< 5^n< 5^4\)
\(\Rightarrow n=3\)
4.
a.A=8.324=23.(25)4=23.220=223A=8.324=23.(25)4=23.220=223
b.B=273.94.2432=(33)3.(32)4.(35)2=39.38.310=327B=273.94.2432=(33)3.(32)4.(35)2=39.38.310=327
c.C=625:53=54:53=5C=625:53=54:53=5
d.D=115:121=115:112=113D=115:121=115:112=113
5.
25<5n<62525<5n<625
⇒52<5n<54⇒52<5n<54
⇒n=3
4.
a.A=8.324=23.(25)4=23.220=223A=8.324=23.(25)4=23.220=223
b.B=273.94.2432=(33)3.(32)4.(35)2=39.38.310=327B=273.94.2432=(33)3.(32)4.(35)2=39.38.310=327
c.C=625:53=54:53=5C=625:53=54:53=5
d.D=115:121=115:112=113D=115:121=115:112=113
5.
25<5n<62525<5n<625
⇒52<5n<54⇒52<5n<54
⇒n=3⇒n=3
