Question

Solve the equation for the unknown variable.

Answer 1

Answer: b=-2

Step-by-step 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

$((b^3)^{\frac{1}{3}})=-8^{\frac{1}{3}}\\\\\Rightarrow\ b=-8^{\frac{1}{3}$

[Using identity:

$(a^n)^{\frac{1}{n}}=1$]

Since, $-8=-2\times-2\times-2=-2^3$

Therefore, $\Rightarrow\ b=(-2^{3})^{\frac{1}{3}$

$\\\Rightarrow\ b=-2}$

Answer 2

B = -2.6666666666666665
-2.6666666666666665 times 3 = -8