We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
224
1
avatar+78 

Please help me solve/compute this question!

 

Please compute:

(-8)^{-2/3}

 

It would be helpful to answer it ASAP. Thanks!

laugh

 Sep 9, 2018
 #1
avatar+7616 
+1

\(\phantom{=\,}(-8)^{-\frac23}\\ \)

 

\( =\,\frac{1}{(-8)^{\frac23}}\)          because      \(x^{-a}\,=\,\frac{1}{x^a}\)

 

\( =\,\frac{1}{(-8)^{\frac23}}\cdot\frac{(-8)^\frac13}{(-8)^\frac13}\)

 

\( =\,\frac{(-8)^{\frac13}}{(-8)^{\frac23+\frac13}}\)          because     \(x^a\cdot x^b\,=\,x^{a+b}\)

 

\( =\,\frac{(-8)^{\frac13}}{(-8)^{\frac33}}\)

 

\( =\,\frac{(-8)^{\frac13}}{(-8)^{1}}\)

 

\( =\,\frac{-2}{-8}\)

 

\( =\,\frac14\)

.
 Sep 9, 2018

12 Online Users

avatar