Please check this maths question thanx

[faisal]

Homework Statement

(* to the power of) 20m3 equals to
a)2x10-8km3
b)2x10*6cm3
c)2x10*5dm3
d)2x19*9mm3

Homework Equations

ok
1000m=1km
so 1km3 is equal to 1000x1000x1000=10*9
so 10*9/20m3=50,000,000

1km3/50x10*6=20
from here I'm confused
........

The Attempt at a Solution

iv attempted to use this method for all the above case yet i continue to get confused help would b warmly appreciated

 

[neutrino]

"1km3/50x10*6=20
from here I'm confused"

Does writing it this way make it any easier?
$$\frac{1}{50\times10^{6}} km^3 = \frac{1}{50}\times \frac{1}{10^{6}}km^3 = 20m^3$$

 

[faisal]

sir i'd like to know a step by step approch to tackle this question, can you please provide one thank you

 

[neutrino]

What you've done above is correct (other than leaving out the m^3 at the end), i.e.

1000m=1km
so 1km3 is equal to 1000x1000x1000=10*9
so 10*9/20m3=50,000,000

1km3/50x10*6=20

What's 1/50? And how would you write 1/10⁶ as a power of 10?