Question

If ∛729 = 9 then ∛0.000729 = ?

Answer 1

Answer:

0.09

Step-by-step explanation:

Given If ∛729 = 9 then ∛0.000729 = ?

Now we can find the cube root by small simplification.

We can write 0.000729 as 729 / 1000000

So it will be  ∛729/1000000

Now let us find the L.C.M of 729

So the factors of 729 are 3 x 3 x 3 x 3 x 3 x 3.

So cube root will be 9

Again we need to find the L.C.M of 1000000.

So the factors of 1000000 are 100 x 100 x 100

So cube root will be 100

So cube root of 729 /1000000 = 0.09

Now we can write ∛0.000729 = 0.09