Question

find the value of please solve the question fast as soon as possible me ​

Answer 1

Answer:

1/4

Step-by-step explanation:

$512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ 512 = {2}^{9}$

given

$({512)}^{ \frac{ - 2}{9} } \\ = { {((2)}^{9} )}^{ \frac{ - 2}{9} } \\ > > formula > > {( {a}^{m}) }^{n} = {a}^{m \times n} < < \\ = ({2})^{9 \times \frac{ - 2}{9} } \\ = {2}^{ - 2} \\ > > formula > > {a}^{ - m} = \frac{1}{ {a}^{m} } < < \\ = \frac{1}{ {2}^{2} } \\ = \frac{1}{4}$