Question

1 Tính:

a) \(\left(\frac{1}{5}\right)\)mũ 5 . 5mũ5                               b) (0,125)mũ3 . 512                   c) (0,25)mũ 4 . 1024    

Answer 1

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

 

Answer 2

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

Answer 3

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