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a) \(\frac{130^3}{40^3}=\left(\frac{130}{40}\right)^3=\left(\frac{13}{4}\right)^3=\frac{13^3}{4^3}=\frac{2197}{64}\)
b) \(\left(0,125\right)^3.512=\left(\frac{1}{8}\right)^3.2^9=\frac{1^3}{8^3}.2^9=\frac{1}{\left(2^3\right)^3}.2^9=\frac{1}{2^9}.2^9=1\)
c) \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)^4.2^{10}=\frac{1^4}{4^4}.2^{10}=\frac{1}{\left(2^2\right)^4}.2^{10}=\frac{1}{2^8}.2^{10}=2^2=4\)
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
\(\left(0,125\right)^3.512=\frac{1}{512}.512\)
\(=1\)
\(\left(0,25\right)^4.1024=\frac{1}{256}.1024\)
\(=\frac{1.4}{1.1}\)
\(=4\)
\(\left(0,125\right)^3\cdot512\)
\(=\left(0,125\right)^3\cdot2^9\)
\(=\left(0,125\right)^3\cdot8^3\)
\(=\left(0,125\cdot8\right)^3\)
\(=1^8=1\)
\(\left(0,25\right)^4\cdot1024\)
\(=\left(0,25\right)^4\cdot2^{10}\)
\(=\left(0,625\right)^2\cdot32^2\)
\(=\left(0,625\cdot32\right)^2\)
\(=20^2=400\)
\(\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)
\(\left(0,25\right)^4.1024=\left(0,25\right)^4.2^{10}=\left(0,25\right)^4.2^8.2^2\)
= \(\left(0,25\right)^4.4^44\)
= \(\left(0,25.4\right)^4.4\)
= \(1^4.4\)
= 1.4=4
\(\left(\dfrac{1}{7}\right)^7\cdot7^7=\left(\dfrac{1}{7}\cdot7\right)^7=1^7=1\\ \left(0,125\right)^3\cdot512=\left(0,125\right)^3\cdot8^3=\left(0,125\cdot8\right)^3=1^3=1\\ \left(0,25\right)^4\cdot1024=\left(0,25\right)^4\cdot256\cdot4=\left(0,25\right)^4\cdot4^4\cdot4=\left(0,25\cdot4\right)^4\cdot4=1^4\cdot4=4\)
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) \(\left(0.25\right)^4.1024=\left(0.25\right)^4.4^5=\left(0.25\right)^4.4^4.4=\left(0.25.4\right)^4.4=1^4.4=1.4=4\)