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# If `a` and `b` are natural numbers such that (1/a)^(1/b)=0.3 or [{one divided by a to the power of 1/b}]Find ab.Please provide the solution

Grade:11

## 1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
$\frac{1}{a}^{\frac{1}{b}}={.3}$
${a}^{\frac{1}{b}}=\frac{10}{3}$
a=(10/3)
${a}=(\frac{10}{3})^{b}$
a and b are natural numbers, so we by hit and trial , increase value of b from 1 until u find a as a natural number.
b=18 and a=2581174792 .

Sher Mohammad
B.Tech IIT Delhi

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