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By simplifying (5)^3/8, we get __________(a) (5)^3/(5^8)(b) (125)^1/8(c) (5)^8/(5)^3(d) 5^24This question was addressed to me by my school principal while I was bunking the class.This interesting question is from Laws of Exponents for Real Numbers in division Number Systems of Mathematics – Class 9

Answer» RIGHT answer is (b) (125)^1/8

The explanation is: According to LAWS of EXPONENTS, a^m/N = \((\sqrt[n]{a})^m\).

Applying that rule here, 5^3/8= (5^3)^1/8

 = (5*5*5)^1/8

 = (125)^1/8.


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