Problem Solving

what is the value of ((.000064)^1/3)^1/2)?

You have (0.000064)^1/3
So you want to know which number you multiply three time itself gives 0.000064
0.000064=64/1000000=4*4*4/100*100*100
So (0.000064)^1/3=0.04

Now you have to find sqrt(4/100)=sqrt((2/10)^2)=2/10

2^6=64
So 0.000064 = (0.2)^6
Hence the value (0.2)^6*(1/6) = 0.2

Hope this is helpful.

pepeprepa wrote:You have (0.000064)^1/3
So you want to know which number you multiply three time itself gives 0.000064
0.000064=64/1000000=4*4*4/100*100*100
So (0.000064)^1/3=0.04

Now you have to find sqrt(4/100)=sqrt((2/10)^2)=2/10

pepeprepa,
how you calculated (0.000064)^1/3?
could you please clarify as to a kindergardener? What is the tip? Thanx!

4meonly wrote: how you calculated (0.000064)^1/3?
could you please clarify as to a kindergardener? What is the tip? Thanx!

fraction in the exponent means you have to find the root of that number

(8)^1/3 = cube root (8) = 2

similarly,

(0.000064)^1/3 = cube root (0.000064) = 0.04

or you can also calculate it this way

cube root (64/1000000) = 4/100 = 0.04

(0.04)^1/2 = square root (0.04) = 0.2

or

sqrt (4/100) = 2/10 = 0.2


Hope this helps.