By simplifying (13)^1/2/(13)^7/2, we get __________(a) 13^7/4(b) 13^-3(c) \(\frac{1}{\sqrt[2]{13}}\)(d) \(\frac{1}{\sqrt[3]{13}}\)I had been asked this question in my homework.My question is from Laws of Exponents for Real Numbers topic in section Number Systems of Mathematics – Class 9

By simplifying (13)^1/2/(13)^7/2, we get __________(a) 13^7/4(b) 13^-3

1.	By simplifying (13)^1/2/(13)^7/2, we get __________(a) 13^7/4(b) 13^-3(c) \(\frac{1}{\sqrt[2]{13}}\)(d) \(\frac{1}{\sqrt[3]{13}}\)I had been asked this question in my homework.My question is from Laws of Exponents for Real Numbers topic in section Number Systems of Mathematics – Class 9
Answer» The CORRECT option is (b) 13^-3 For explanation: ACCORDING to laws of exponents, a^m/a^n = a^m-n Applying that rule here, (13)^1/2/(13)^7/2 = 13^(1/2-7/2) = 13^((1)-(7))/(2) = 13^((-6))/(2) = 13^-3.

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