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

\(\left(0,25\right)^4.1024\)

\(=\left(\frac{1}{4}\right)^4.32^2\)

\(=\left[\left(\frac{1}{4}\right)^2\right]^2.32^2\)

\(=\left(\frac{1}{16}\right)^2.32^2\)

\(=\left(\frac{1}{16}.32\right)^2\)

\(=2^2\)

\(=4.\)

Chúc bạn học tốt!

Ta có: \(\left(0,25\right)^4.1024\)

\(=\left(\frac{1}{4}\right)^4.32^2\)

\(=\left[\left(\frac{1}{4}\right)^2\right]^2.32^2\)

\(=\left(\frac{1}{16}\right)^2.32^2\)

\(=\left(\frac{1}{16}.32\right)^2\)

\(=2^2\)

\(=4\)

Chúc bạn hok tốt!!! Đặng Quốc Huy

Ta có: (0,25)⁴.1024

= [(0,25)² ]² .32²

=(\(\frac{1}{6}\))² .32²

⁼(\(\frac{1}{6}\).32)²

=(\(\frac{32}{6}\))²

=2²

=4

Vậy (0,25)² .1024=4

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

b/ \(\left(0,125\right)^3.512=\left(0,125\right).8^3=\left(0,125.8\right)^3=1^3=1\)

c/ \(\left(0,25\right)^4.1024=\left(0,25^2\right)^2.32^2=\left(\dfrac{1}{6}\right)^2.32^2=\left(\dfrac{1}{6}.32\right)^2=16^2\)

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

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

\(c,\left(0,25\right)^4.1024=\left(0,25\right)^4.4^4.4=\left(0,25.4\right)^4.4=1^4.4=1.4=4\)

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

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

c) \(\left(0,25\right)^4.1024=4\)

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

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

c) (0,25)^4. 1024= [(0,25)^2]^2. 32^2= (1/6)^2. 32^2=(1/6.32)^2= (32/6)^2 =2^2= 4

a, \(\left(\dfrac{1}{5}\right)^5.5^5\) =0,00032. 3125= 1

b, \(\left(0,125\right)^3.512\)= 0.001953125. 512=1

c, \(\left(0,25\right)^4.1024\) =0,00390625.1024=4

a) \(\left(\dfrac{1}{5}\right)^5.5^5\)

\(=\dfrac{1}{3125}.3125\)

= 1

b) \(\left(0,125\right)^3.512\)

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

= 1

c) \(\left(0,25\right)^4.1024\)

= \(\dfrac{1}{256}.1024\)

= 4

50.

a) \(\left(\dfrac{1}{5}\right)^5.5^5\)

\(=\left(5^{-1}\right)^5.5^5=5^{-5}.5^5=5^{-5+5}=5^0=1\)

\(a,\left(\dfrac{1}{7}\right)^7.7^7=\left(\dfrac{1}{7}.7\right)^7=1\)

\(b,\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)\(c,\left(0,25\right)^4.1024=\left(\left(0,25\right)^2\right)^2.32^2=\left(\dfrac{1}{6}\right)^2.32^2=\left(\dfrac{1}{6}.32\right)^2=2^2=4\)

\(d,\dfrac{90^3}{15^3}=\left(\dfrac{90}{15}\right)^3=6^3=216\)

(0,25)4.1024 = (0,25)4.256.4 = (0,25)4.44.4 = (0,25.4)4.4 = 1.4 = 4

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

b) \(\left(0,125\right)^3.512=\left(0,512\right)^3.8^3=\left(0,512.8\right)^3=1^3=1\)

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

d) \(\dfrac{120^3}{40^3}=\left(\dfrac{120}{40}\right)^3=3^3=64\)

e) \(\dfrac{390^4}{130^4}=\left(\dfrac{390}{130}\right)^4=3^4=81\)

g) \(\dfrac{3^2}{\left(0,375\right)^2}=\left(\dfrac{3}{0,375}\right)^3=8^3=512\)