Question

Find cube of
a)-0.16
b)-2/7
c)14

Answer 1

a)
`(-0.16)^3 = (-0.16)\cdot(-0.16)\cdot (-0.16) = -(16)/(100)\cdot(16)/(100)\cdot(16)/(100)=`

`= -(16^3)/(100^3) = -(2^(12))/(10^6) = -(4\cdot 2^(10))/(10^6) = -(4096)/(1000000) = -0.004096`

b)
`\left(-(2)/(7)\right)^3 = -(2^3)/(7^3) = -(8)/(343)`

c)
`14^3 = (2\cdot 7)^3 = 2^3\cdot 7^3 = 8\cdot 343 = 2744`