Question

Evaluate (1/81)^-1/2

Answer 1

heyy.
(1/81)^(-1/2)
by laws of indicices.
it comes out to be (1/9) inverse.
i.e. 9.

Answer 2

Answer :


$given \: = ( \frac{1}{81} ) {}^{ - \frac{1}{2} } \\ \\ = > express \: with \: an \: positive \: exponent \: using \: ( \frac{1}{a} ) {}^{ - n} = {a}^{n} \\ \\ = > \: {81}^{ \frac{1}{2} } \\ \\ = > \: ( {3}^{4} ) {}^{ \frac{1}{2} } \\ \\ = > \: {3}^{2} \\ \\ = > \: 9$
Hope it would help you