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By simplifying (7)^2/5 * (7)^3/4, we get __________(a) (7)^6/20(b) 7(c) (7)^23/20(d) (7)^-7/20The question was posed to me in an online interview.This key question is from Laws of Exponents for Real Numbers in division Number Systems of Mathematics – Class 9

Answer»

Correct ANSWER is (c) (7)^23/20

For explanation I WOULD say: According to laws of exponents, a^m a^n = a^(m+n)

APPLYING that rule here, (7)^2/5 * (7)^3/4 = (7)^(2/5+3/4)

= (7)^((2*4)+(5*3))/(5*4)

= (7)^(8+15)/20

= (7)^23/20.



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