Express each radical expression in simplest radical form.\sqrt[3]{56}

facas9 2021-09-22 Answered

Express each radical expression in simplest radical form.
563

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Expert Answer

Szeteib
Answered 2021-09-23 Author has 102 answers

We have to express the given radical expression in simplest radical form:
563
We know the laws of exponents,
am=a1m
(am)n=am×n
(ab)m=ambm
Applying above laws for the given expression, we get
563=(56)13
=(8×7)13
=(2×2×2×7)13
=(23×7)13
=(23)13(7)13
=273
Hence, simplest form of the radical expression is =273

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