Question

By simplifying (5)^3/8, we get __________

(a) (5)^3/(5^8)

(b) (125)^1/8

(c) (5)^8/(5)^3

(d) 5^24

This 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 1

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.