Answer:
Second option "B. 4" is the correct choice.
Step-by-step explanation:
[tex](-8)^{\frac{2}{3}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^{\frac{m}{n}}=\left(-1\right)^{\frac{m}{n}}\left(a\right)^{\frac{m}{n}}\\\\=\left(-1\right)^{\frac{2}{3}}\cdot \:8^{\frac{2}{3}}\\\\=1\cdot \:8^{\frac{2}{3}}\\\\=8^{\frac{2}{3}}\\\\=\left(2^3\right)^{\frac{2}{3}}=2^{3\cdot \frac{2}{3}}=2^2\\\\=4[/tex]
Best Regards!
4 (Answer B)
Note that we can rewrite the given expression as
{ ∛(-8)}² In words: the square of the cube root of -8
This simplifies to (-2)² which in turn is 4 (Answer B)
