a) \(3^5.4^5=\left(3.4\right)^5=12^5\)
b) \(8^5.2^3=\left(2^3\right)^5.2^3=2^{15}.2^3=2^{18}\)
c) \(2^7.5^7=\left(2.5\right)^7=10^7\)
d) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=2^{20}.2^{45}=2^{65}\)
e) \(4^{15}.5^{30}=4^{15}.\left(5^2\right)^{15}=4^{15}.25^{15}=\left(4.25\right)^{15}=100^{15}\)
f) \(9^{12}.3^5=\left(3^2\right)^{12}.3^5=3^{24}.3^5=3^{29}\)
a) 35 . 45 = (3.4)5 = 125
b) 85 . 23 = (23)5 . 23 = 215 . 23 = 218
c) 27 . 57 = (2.5)7 = 107
d) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 265
e) 415 . 530 = 415 . (52)15 = 415 . 2515 = (4.25)15 = 10015
f) 912 . 35 = (32)12 . 35 = 324 . 35 = 329
a) 35 . 45 = (3.4)5 = 125
b) 85 . 23 = (23)5 . 23 = 215 . 23 = 218
c) 27 . 57 = (2.5)7 = 107
d) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 265
e) 415 . 530 = 415 . (52)15 = 415 . 2515 = (4.25)15 = 10015
f) 912 . 35 = (32)12 . 35 = 324 . 35 = 329
a) 35 . 45 = (3.4)5 = 125
b) 85 . 23 = (23)5 . 23 = 215 . 23 = 218
c) 27 . 57 = (2.5)7 = 107
d) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 265
e) 415 . 530 = 415 . (52)15 = 415 . 2515 = (4.25)15 = 10015
f) 912 . 35 = (32)12 . 35 = 324 . 35 = 329