if (a^3+2^3+3^3)^5/2 =6^5 Then a is equal to

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QUESTION: Find a if (a^3+2^3+3^3)^5/2 = 6^5.

(a^3+2^3+3^3)^(5/2) = 6^5

Taking the fifth root of both sides,

(a^3+2^3+3^3)^(1/2) = 6

Squaring both sides,

a^3+2^3+3^3 = 36

expanding the powered numbers,

a^3 + 8 + 27 = 36

doing some arithmetic,

a^3 = 1

Solution: a = 1

by Level 11 User (81.5k points)

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