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\(\left(\dfrac{1}{7}\right)^7\cdot7^7=\left(\dfrac{1}{7}\cdot7\right)^7=1^7=1\\ \left(0,125\right)^3\cdot512=\left(0,125\right)^3\cdot8^3=\left(0,125\cdot8\right)^3=1^3=1\\ \left(0,25\right)^4\cdot1024=\left(0,25\right)^4\cdot256\cdot4=\left(0,25\right)^4\cdot4^4\cdot4=\left(0,25\cdot4\right)^4\cdot4=1^4\cdot4=4\)
a) \(\left(\dfrac{1}{7}\right)^7.7^7=\left(\dfrac{1}{7}.7\right)^7=1^7=1\)
b) \(\left(0.125\right)^3.512=\left(0.125\right)^3.8^3=\left(0.125\cdot8\right)^3=1^3=1\)
c) \(\left(0.25\right)^4.1024=\left(0.25\right)^4.4^5=\left(0.25\right)^4.4^4.4=\left(0.25.4\right)^4.4=1^4.4=1.4=4\)
a) (1 / 7.7) 7 = 1
b) (0,125.8)3=1
c)( 0,25.0,25.32)2=22=4
d) (90/15) 3 = 6 3
) ( 790/79)4=104
f) (3/0,75)2=82
\(\left(0,125\right)^3\cdot512\)
\(=\left(0,125\right)^3\cdot2^9\)
\(=\left(0,125\right)^3\cdot8^3\)
\(=\left(0,125\cdot8\right)^3\)
\(=1^8=1\)
\(\left(0,25\right)^4\cdot1024\)
\(=\left(0,25\right)^4\cdot2^{10}\)
\(=\left(0,625\right)^2\cdot32^2\)
\(=\left(0,625\cdot32\right)^2\)
\(=20^2=400\)
\(\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)
\(\left(0,25\right)^4.1024=\left(0,25\right)^4.2^{10}=\left(0,25\right)^4.2^8.2^2\)
= \(\left(0,25\right)^4.4^44\)
= \(\left(0,25.4\right)^4.4\)
= \(1^4.4\)
= 1.4=4