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By simplifying (5)^3/4/(5)^1/4, we get __________(a) (5)^1/4(b) (5)^3/16(c) \(\sqrt[3]{5}\)(d) \(\sqrt[2]{5}\)The question was posed to me by my school teacher while I was bunking the class.This key question is from Laws of Exponents for Real Numbers topic in section Number Systems of Mathematics – Class 9

Answer»

The CORRECT choice is (d) \(\sqrt[2]{5}\)

To elaborate: ACCORDING to laws of exponents, a^m/a^n = a^m-n

Applying that RULE here, (5)^3/4/(5)^1/4 = (5)^(3/4-1/4)

= (5)^(3-1)/4

= (5)^2/4

= (5)^1/2

= \(\sqrt[2]{5}\).



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