Question

Solve the equation for the unknown variable.

b3=−8

Enter your answer in the box.


b =

Answer 1

the answer is -2

Explanation:

im taking the test right now lol

Answer 2

Answer: b=-2

Explanation:

The given equation :
`b^3=-8`

To find the value of b from the given equation, we need to take cube root on on the sides, we get

`((b^3)^{(1)/(3)})=-8^{(1)/(3)}\\\\\Rightarrow\ b=-8^{(1)/(3)`

[Using identity:

`(a^n)^{(1)/(n)}=1`]

Since,
`-8=-2*-2*-2=-2^3`

Therefore,
`\Rightarrow\ b=(-2^(3))^{(1)/(3)`

`\\\Rightarrow\ b=-2}`