III Escreva cada expressão como uma só potência. a) 7^3cdot 7^4=7^3+4=7^7 g) 10^6cdot 10cdot 10^3=underline ( ) b) (2^5)^2=underline ( ) h) (-4)^-8:(-4)^-4=underline ( ) c) (1,2)^8:(1,2)^6=underline ( ) i) [(-8)^3]^3=underline ( ) d) (-13):(-13)^8=underline ( ) j) [((6)/(5))^-3]^5=underline ( ) e) ((1)/(3))^2cdot ((1)/(3))^4cdot ((1)/(3))=underline ( ) k) (3^8cdot 12^8):(9^5cdot 4^5)=underline ( ) 11^3:11^5=underline ( ) I) (12^7:4^7)cdot (18^10:6^10)=underline ( )

III Escreva cada expressão como uma só potência.<br />a) $7^{3}\cdot 7^{4}=7^{3+4}=7^{7}$<br />g) $10^{6}\cdot 10\cdot 10^{3}=10^{6+1+3}=10^{10}$<br />b) $(2^{5})^{2}=2^{5\cdot2}=2^{10}$<br />h) $(-4)^{-8}:(-4)^{-4}=(-4)^{-8-(-4)}=(-4)^{-4}=\frac{1}{(-4)^{4}}=\frac{1}{256}$<br />c) $(1,2)^{8}:(1,2)^{6}=(1,2)^{8-6}=(1,2)^{2}=1,44$<br />i) $[(-8)^{3}]^{3}=(-8)^{3\cdot3}=(-8)^{9}=-134217728$<br />d) $(-13):(-13)^{8}=(-13)^{1-8}=(-13)^{-7}=\frac{1}{(-13)^{7}}$<br />j) $[(\frac {6}{5})^{-3}]^{5}=(\frac {6}{5})^{-3\cdot5}=(\frac {6}{5})^{-15}=\frac{1}{(\frac {6}{5})^{15}}=\frac{1}{11390625}$<br />$(\frac {1}{3})^{2}\cdot (\frac {1}{3})^{4}\cdot (\frac {1}{3})=(\frac {1}{3})^{2+4+1}=(\frac {1}{3})^{7}=\frac{1}{2187}$<br />k) $(3^{8}\cdot 12^{8}):(9^{5}\cdot 4^{5})=(3^{8}\cdot (3\cdot 2)^{8}):(3^{10}\cdot 2^{10})=(3^{8}\cdot 3^{8}\cdot 2^{8}):(3^{10}\cdot 2^{10})=3^{16}\cdot 2^{8-10}=3^{16}\cdot 2^{-2}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{2^{2}}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=3^{16}\cdot \frac{1}{4}=