+78 Please help me solve/compute this question!
Please compute:
(-8)^{-2/3}
It would be helpful to answer it ASAP. Thanks!
+9466 \(\phantom{=\,}(-8)^{-\frac23}\\ \)
\( =\,\frac{1}{(-8)^{\frac23}}\) because \(x^{-a}\,=\,\frac{1}{x^a}\)
\( =\,\frac{1}{(-8)^{\frac23}}\cdot\frac{(-8)^\frac13}{(-8)^\frac13}\)
\( =\,\frac{(-8)^{\frac13}}{(-8)^{\frac23+\frac13}}\) because \(x^a\cdot x^b\,=\,x^{a+b}\)
\( =\,\frac{(-8)^{\frac13}}{(-8)^{\frac33}}\)
\( =\,\frac{(-8)^{\frac13}}{(-8)^{1}}\)
\( =\,\frac{-2}{-8}\)
\( =\,\frac14\)
