Question

Tính:

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

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

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

d) \(\dfrac{120^3}{40^3}\)

e) \(\dfrac{390^4}{130^4}\)

f) \(\dfrac{3^2}{\left(0,375\right)^2}\)

Answer 1

Answer 2

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

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

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