Answer: b=-2
Step-by-step explanation:
The given equation : [tex]b^3=-8[/tex]
To find the value of b from the given equation, we need to take cube root on on the sides, we get
[tex]((b^3)^{\frac{1}{3}})=-8^{\frac{1}{3}}\\\\\Rightarrow\ b=-8^{\frac{1}{3}[/tex]
[Using identity:
[tex](a^n)^{\frac{1}{n}}=1[/tex]]
Since, [tex]-8=-2\times-2\times-2=-2^3[/tex]
Therefore, [tex]\Rightarrow\ b=(-2^{3})^{\frac{1}{3}[/tex]
[tex]\\\Rightarrow\ b=-2}[/tex]
