SOLUTION: #82) write m^20 as a power of m^5 #86) what expression raised to the fourth power is 81x^12y^8z^16? (this is 81x to the power of 12 then y to the power of 8 then z to

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: #82) write m^20 as a power of m^5 #86) what expression raised to the fourth power is 81x^12y^8z^16? (this is 81x to the power of 12 then y to the power of 8 then z to      Log On

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Question 92491: #82) write m^20 as a power of m^5

#86) what expression raised to the fourth power is 81x^12y^8z^16?
(this is 81x to the power of 12 then y to the power of 8 then z to the power of 16)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
82) write m^20 as a power of m^5
Remember the rules of exponents, you should be able to see that if would be
%28m%5E5%29%5E4 which is m%5E%28%284%2A5%29%29
:
#86) what expression raised to the fourth power is 81x^12y^8z^16?
(this is 81x to the power of 12 then y to the power of 8 then z to the power of 16)
:
81%2Ax%5E12%2Ay%5E8%2Az%5E16;
:
note that 81 = 3^4
:
Find the 4th root of each term
:
81%5E%281%2F4%29%2Ax%5E%2812%2F4%29%2Ay%5E%288%2F4%29%2Az%5E%2816%2F4%29 =
:
3%2Ax%5E3%2Ay%5E2%2Az%5E4
:
:
Check:
%283%2Ax%5E3%2Ay%5E2%2Az%5E4%29%5E4 = 81%2Ax%5E12%2Ay%5E8%2Az%5E16
:
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