Cho mình sửa lại nhình nhầm số :

\(\left(0,25\right)^4.1024=\frac{1}{256}.1024=\frac{1024}{256}=4\)

\(\left(0,25\right)^4.1024=2^8.2^{10}=2^{18}\)

\(\left(0,125\right)^3.512=\frac{1}{512}.512\)

                             \(=1\)

\(\left(0,25\right)^4.1024=\frac{1}{256}.1024\)

                             \(=\frac{1.4}{1.1}\)

                             \(=4\)

(0.25)^4*1024

\(\left(0,125\right)^3\cdot512\)

\(=\left(0,125\right)^3\cdot2^9\)

\(=\left(0,125\right)^3\cdot8^3\)

\(=\left(0,125\cdot8\right)^3\)

\(=1^8=1\)

\(\left(0,25\right)^4\cdot1024\)

\(=\left(0,25\right)^4\cdot2^{10}\)

\(=\left(0,625\right)^2\cdot32^2\)

\(=\left(0,625\cdot32\right)^2\)

\(=20^2=400\)

\(\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)

\(\left(0,25\right)^4.1024=\left(0,25\right)^4.2^{10}=\left(0,25\right)^4.2^8.2^2\)

= \(\left(0,25\right)^4.4^44\)

= \(\left(0,25.4\right)^4.4\)

= \(1^4.4\)

= 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) \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)^4.2^{10}=\frac{1^4}{4^4}.2^{10}=\frac{1}{\left(2^2\right)^4}.2^{10}=\frac{1}{2^8}.2^{10}=2^2=4\)

(0,25)^4 . 1024 = (0,25)^4 . 2^10 = (0,25)^4 . 2^4 . 2^6 = (0,25 . 2)^4 . 2^6 = (0,5)^4 . 2^4. 2^2 = (0,5 . 2)^4 . 2^2 = 1^4 . 2^2 = 1 . 4 = 4

=4 bn nhé