SOLUTION: In my basic math class we are now on section 5.1 which is properties and exponents. The question asked to write expression 8a to the third power as a perfect cube, and I am not sur

Algebra ->  Exponents -> SOLUTION: In my basic math class we are now on section 5.1 which is properties and exponents. The question asked to write expression 8a to the third power as a perfect cube, and I am not sur      Log On


   

Question 281650: In my basic math class we are now on section 5.1 which is properties and exponents. The question asked to write expression 8a to the third power as a perfect cube, and I am not sure what steps to take
Found 3 solutions by jim_thompson5910, checkley77, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Basically, they want you to write 8a%5E3 in the form of x%5E3 where 'x' is some expression. Since we can write 8 as 2%5E3, this means that 8a%5E3=2%5E3a%5E3


Now use the property a%5Ex%2Ab%5Ex=%28ab%29%5Ex to rewrite 2%5E3a%5E3 into %282a%29%5E3. So 2%5E3a%5E3=%282a%29%5E3 which means that 8a%5E3=%282a%29%5E3

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
8a^3=(2a)^3 ans.

Answer by richwmiller(17219) About Me  (Show Source):