Help with simplifying (.001)^-3

[erikanim]

Help with simplifying (.001)^-3

How do I simplify this?

 

[Deleted member 4993]

How do I simplify this? (.001)^-3

\(\displaystyle 0.001 = \dfrac{1}{1000} = \dfrac{1}{10^{3}}\)

Now continue....

 

[stapel]

Help with simplifying (.001)^-3

How do I simplify this?

What is the fractional form of the decimal 0.001?

What then is the reciprocal of the decimal?

What then is the cube? (Yes, it'll have plenty of zeroes.)

 

[pka]

Help with simplifying (.001)^-3
How do I simplify this?

I much prefer doing this with exponents: \(\displaystyle (0.001)^{-3}=\left(10^{-3}\right)^{-3}=10^9=1,000,000,000~.\)
Take time to count the zeros.