Question

find the value of 1/[(3)^1/2]^-2

Answer 1

Answer:

3

Step-by-step explanation:

We know that,

$\red\rightarrow \: \{ ({ {a})^{m} } \}^{n} = {a}^{mn} \\ \\ \red\rightarrow \: \ {a}^{ - m} = \{{ \frac{1}{a} } \}^{m}$

$\tt \bold{\frac{1} {( {3})^{{ {\frac{1}{2 } } ^{ (- 2)}} }}} \\ \tt \ = \frac{1}{ {3}^{ \frac{1}{2} \times - 2 } } \tt \ \\ = \frac{1}{ {3}^{ - 1} } \\ = \frac{1}{ \{\frac{1}{3} \}^{1}} \tt \ \\ = \frac{ {3}^{1} }{1} = 3$