Question

please give me a answer detail

Answer 1

Hello,


The question can be solved by using the property of the exponents and radicals.

The property used are :-

${x}^{a} \times {x}^{b} = {x}^{(a + b)}$
So,
This will come as......

$( {( - 2)}^{k} \times {( - 2)}^{2k} = {( - 2)}^{ - 9} \\ \\ so \\ {( - 2)}^{k + 2k} = {( - 2)}^{ - 9} \\ {( - 2)}^{3k} = { (- 2)}^{ - 9} \\ \\ this \: is \: only \: possible \: when \\ \\ 3k = ( - 9) \\ k = \frac{( - 9)}{3} = ( -3)$
So,

The value of k is (-3)

Hope this will be helping you...