SOLUTION: How do you simplify expression.All varibles represent positive and real numbers. -(8a^3b^6)-2/3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: How do you simplify expression.All varibles represent positive and real numbers. -(8a^3b^6)-2/3      Log On


   

Question 175869: How do you simplify expression.All varibles represent positive and real numbers.
-(8a^3b^6)-2/3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-(8a^3b^6)^(-2/3)
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The exponent is -2/3
The negative means "invert"
the 2 means "square"
the 3 means "take the cube root"
You may perform the instructions in any order to get:
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1st: take the cube root to get:
(2ab^2)^-2
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2nd: square to get:
(4a^2b^4)^-1
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#rd: invert to get:
1/(4a^2b^4)
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Cheers,
Stan H.