Question

do this by Prime factorisation.to find it's cube or not

-27000


and also do my last question also
.
.
.
.
follow me❤❤
​

Answer 1

Answer:

27000/3

9000/3

3000/3

1000/10

100/10

10/10

3*3*3*10*10*10

3*10

30

Answer 2

Answer:

∛(-27000) = -30

Step-by-step explanation:

Since:

∛(-27000) = ∛-1 × ∛(27000)  ......(1)

NOW

(-1)³ = (-1) × (-1) × (-1) = -1

So  

(-1)³ = -1

Taking 3rd root on both sides we get

∛(-1)³ = ∛(-1)

-1 = ∛(-1)

Thus

∛(-1) = -1

NOW

27000 = 3 × 9000

           = 3 × 3 × 3000

           = 3 × 3 × 3 × 1000

           = 3 × 3 × 3 × 10 × 100

           = 3 × 3 × 3 × 10 × 10 × 10 = 3³ × 10³    

So

27000 = 3³ × 10³

Taking 3rd root on both sides we get

∛27000 = ∛(3³ × 10³) = ∛3³ × ∛10³ = 3 × 10 = 30

Thus

∛27000 = 30

Putting the values in equation (1) we get

∛(-27000) = -1 × 30 = -30

Hence

∛(-27000) = -30