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Bài 1:
a) \(\left(0,125\right)^3.512\)
\(=\left(0,125\right)^3.8^3\)
\(=1^3\)
\(=1.\)
b) \(\left(0,25\right)^4.1024\)
\(=\left[\left(0,25\right)^2\right]^2.32^2\)
\(=\left(0,0625\right)^2.32^2\)
\(=2^2\)
\(=4.\)
Chúc bạn học tốt!
a) (0,125)3.512=\(\frac{1}{8}\)3.512=\(\frac{1}{512}\).512=1
b)(0,25)4.1024=\(\frac{1}{4}\)4.1024=\(\frac{1}{256}\).1024=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
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) \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)^4.2^{10}=\frac{1^4}{4^4}.2^{10}=\frac{1}{\left(2^2\right)^4}.2^{10}=\frac{1}{2^8}.2^{10}=2^2=4\)
\(\left(0,125\right)^3.512=\frac{1}{512}.512\)
\(=1\)
\(\left(0,25\right)^4.1024=\frac{1}{256}.1024\)
\(=\frac{1.4}{1.1}\)
\(=4\)
(0.25)^4*1024