SOLUTION: Rewrite without rational exponents and simplify if possible (5a^2b)^3/5

Question 1037010: Rewrite without rational exponents and simplify if possible
(5a^2b)^3/5
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i translate this to read:

this is equivalent to which is equivalent to which is equivalent to which is equivalent to the fifth root of .

i confirmed by assigning the value of 7 to a and the value of 9 to b and evaluated the original expression and the final expression.

i got the original expression = 101.4016814
i got the final expression = 101.4016814

since the values are the same, i assumed that the solution is correct.

the basic concepts used are:

=

= = the b root of .

for example:

= = = 64.

since 2^2 = 4 and 4^3 = 64, this confirms the concept is correct.

also:

= = square root of = 4.

since 2^4 = 16 and the square root of 16 is equal to 4, this confirms the concept is correct.

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