SOLUTION: I need the answers and steps for these five. Even though this is my first question of the day I know it counts as 5 so I will only ask one other today Thanks 1.(2a5)3 2.(-3xy3)

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: I need the answers and steps for these five. Even though this is my first question of the day I know it counts as 5 so I will only ask one other today Thanks 1.(2a5)3 2.(-3xy3)      Log On

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Question 149210: I need the answers and steps for these five. Even though this is my first question of the day I know it counts as 5 so I will only ask one other today
Thanks
1.(2a5)3
2.(-3xy3)4
3. (5a3b4)2
4.(-mn8)3
5. (-2x2y)3 * (5xy3)2
Answer by ankor@dixie-net.com(15624) About Me  (Show Source):
You can put this solution on YOUR website!
1.%282a%5E5%29%5E3
Cube each term
2%5E3+%2A+a%5E%285%2A3%29:You multiply when you raise one power to another power
8a%5E15
:
2.%28-3xy%5E3%29%5E4
-3%5E4%2Ax%5E4%2Ay%5E%283%2A4%29
81x%5E4y%5E12; a negative raised to an even power will be positive
:
3. %285a%5E3b%5E4%29%5E2
5%5E2%2Aa%5E%283%2A2%29%2Ab%5E%284%2A2%29
25a%5E6b%5E8
:
4.%28-mn%5E8%29%5E3
-m%5E3%2An%5E%288%2A3%29
-m%5E3n%5E24
:
5. %28-2x%5E2y%29%5E3+%2A+%285xy%5E3%29%5E2
%28-2%5E3%2Ax%5E%282%2A3%29%2Ay%5E3%29+%2A+%285%5E2%2Ax%5E2%2Ay%5E%283%2A2%29%29
%28-8x%5E6y%5E3%29+%2A+%2825x%5E2y%5E6%29; a negative raised to an odd power will be negative
-8%2A25%2Ax%5E%286%2B2%29%2Ay%5E%283%2B6%29: add exponents of like terms when you multiply
-200x%5E8y%5E9
:
This is the method, check each step to ensure I did not make a dumb math mistake here