Question

Tính:

a, 130^3 / 40^3

b, ( 0,125 )^3 . 512

c, ( 0,25 )^4 . 1024

 

Answer 1

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