Question

(81/16)^-3/4
What is the Multiplicative Inverse of the above?​

Answer 1

Answer:

(4/9)^3/2

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The multiplicative inverse also known as reciprocal implies is something which is opposite. The reciprocal number obtained in such a way that the value is equal to identity 1 when multiplied by the original number. Let us consider the number ‘a’ then the multiplicative inverse of the number is ‘1/a’.

a × 1/a = 1

Given value is

\((\frac{81}{16})^{(-\frac{3}{4})}\) \((\frac{16}{81})^{\left ( \frac{3}{4} \right )}\) \((\frac{4^{2}}{9^{2}})^{\left ( \frac{3}{4} \right )}\) \((\frac{4}{9})^{\left ( \frac{3}{2} \right )}\) \((\frac{2}{3})^{3}\) \((\frac{8}{27})\)

∴ The multiplicative inverse of (81/16)(-3/4) is