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

                             \(=1\)

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

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

                             \(=4\)

(0.25)^4*1024

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

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

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

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

\(=1^8=1\)

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

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

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

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

\(=20^2=400\)

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

\(\left(\dfrac{1}{7}\right)^7\cdot7^7=\left(\dfrac{1}{7}\cdot7\right)^7=1^7=1\\ \left(0,125\right)^3\cdot512=\left(0,125\right)^3\cdot8^3=\left(0,125\cdot8\right)^3=1^3=1\\ \left(0,25\right)^4\cdot1024=\left(0,25\right)^4\cdot256\cdot4=\left(0,25\right)^4\cdot4^4\cdot4=\left(0,25\cdot4\right)^4\cdot4=1^4\cdot4=4\)

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) 4

b) 80

c) 243

d) 9

bạn tự giải ra nhé!mk làm tắt thui

a)1

b)1

c)4

A) (1/5)^5 . 5^5 = 1/5^5 . 5^5 = 5^5 / 5^5 = 1.

B)(0,125)^3 . 512 = (1/8)^3 . 512 = 1/8^3 . 512 = 1/512 . 512 = 1.

C) (0,25)^4 . 1024 = (1/4)^4 . 1024 = 1/4^4 . 1024 = 1/256 . 1024 = 4.