Question

multiplicative inverse of 3^-5​

Answer 1

Answer:

243

Step-by-step explanation:

3^-5 = (1/3)^5

       = 1/3 * 1/3​ * 1/3 * 1/3​ * 1/3

       = 1 / 243

multiplicative inverse of 1 / 243 = 243

I hope it helps you

Answer 2

$\text{Multiplicative Inverse of} \: \: \: \bf 3^{(-5)}$

We know,

• When multiplicative inverse of any number is multiplied to the number, result obtained is equal to 1

Thus,

• Required number is 3⁵

As,

$\frak{ \huge {3}^{( - 5)} \times {3}^{(5)} } \\ \\ \huge \to \tt \frac{1}{ \cancel{ {3}^{5} }} \times \cancel{{3}^{5} } \: = 1$

Hence,

• 3⁵ is definitely multiplicative inverse of 3^{-5}