Question

Find all the cube roots of 0.000064

Answer 1

0,04*0,04*0,04=0,000064

the cube roots of 0,000064=0,04

Answer 2

0.000064^(1/3) = 0.04

To better understand the problem, ignore the leading zeros. We need to find the cube root of 64. A cube root is a number when multiplied by itself 3 times results in another number.

In this case, 4*4*4 = 64, so 4 is the cube root.

To deal with the leading zeros, we need to know that there 4 in 0.000064.

Every time you multiply two numbers with leading zeros together, you add the number of zeros. So 0.01*0.01=.001

If the number we are using is the same, it must have the same number of zeros. So every time we multiply it by itself, the number of zeros doubles. 0.000064 has 4 zeros. So the square root would have 2 zeros, and the CUBE root would have 1 zero.

So our answer is 0.04