a. C1) 162:42=256:16=16
C2) 162:42=(16:4)2=42=16
b. C1) 252:52=625:25=25
C2) 252:52=(25:5)2=52=25
a. 162 : 42
C1 : = ( 42 ) 2 : 42
= 42.2 : 42
= 44 : 42
= 42 = 16
C2 : = 256 : 16
= 16
b) 252 : 52
= ( 52 ) 2 : 52
= 52.2 : 52
= 54 : 52
= 52 = 25
C2 : = 625 : 25
= 25
a) \(16^2:4^2\)
\(=\left[\left(4\right)^2\right]^2:4^2\)
\(=4^{2\times2}:4^2\)
\(=4^4:4^2\)
\(=4^{4-2}\)
\(=4^2=16\)
b) \(25^2:5^2\)
\(=\left[\left(5\right)^2\right]^2:5^2\)
\(=5^{2\times2}:5^2\)
\(=5^4:5^2\)
\(=5^{4-2}\)
\(=5^2=25\)
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