Simplify [5(8^1/3 + 27^1/3)^3]^1/4
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[5 (8^1/3+27^1/3)^3]^1/4
=[5(2+3)^3]^1/4
=[5(5)^3]^1|/4
=[5×125]^1/4
=(625)^1/4
=5.
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