14 4 Given that n^(-(4)/(5))=((1)/(2))^4 where ngt 0 find the value of n. (Total for Qu

Question

Answer 1

We begin by converting the right hand expression, ie., \( (\frac{1}{2})^{4} \). This involves raising

to the power

. Plugging this into a calculator or calculating manually, it gives:

Then, we equate

to

. The negative notation of the exponent signifies the reciprocal of the value or base (which is `n` in this case). This means

. Eastings, this means that

.Finally, to get the value of

, we need to get rid of the

exponent. We do this by raising both sides to the power of

, which gives \( n^{(4/5 * 5/4)} = n^1 = n \). This implies

Calculating

, we get the accurate answer:

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