a, \(\frac{1^5}{5}\).5⁵= (\(\frac{1}{5}\).5)⁵=1⁵=1

a) \(\left(\frac{1}{5}\right)^5.5^5=\left(\frac{1}{5}.5\right)^5=1^5=1\)

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

c) \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)^4.1024=\frac{1^4}{4^4}.1024=\frac{1}{16}.1024=\frac{1024}{16}=58\)

a) \(\left(\frac{1}{5}\right)^5.5^5=\left(\frac{1}{5}.5\right)^5=1^5=1\)

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

c) \(\left(0,25\right)^4.1024=\text{[}\left(0,25\right)^2\text{]}^2.32^2=\left(\frac{1}{6}\right)^2.32^2=\left(\frac{1}{6}.32\right)^2=\left(\frac{32}{6}\right)^2=2^2=4\)

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

a, ( 0,125 )³ . 512

=( \(\frac{1}{8}\))³ . 512

= \(\frac{1}{512}\) . 512

= 1

b, ( 0,25) ⁴ . 1024

= \(\left(\frac{1}{4}\right)\)⁴ . 2¹⁰

= \(\frac{1}{\left(2^2\right)^4}\). 2¹⁰

= \(\frac{1}{2^8}\). 2¹⁰

= 2²

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

a 00,015625 . 32 =0,5