SOLUTION: Rewrite without rational exponents and simplify if possible (5a^2b)^3/5
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Question 1037010
:
Rewrite without rational exponents and simplify if possible
(5a^2b)^3/5
Answer by
Theo(13342)
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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.