solving this indicial equation [tex]( \frac{1.4^{3} }{1.2^{4} } )^{-6}[/tex] we get the option D as the correct option which is [tex]( \frac{1.2^{24} }{1.4^{18} } )[/tex]
what is law of indices?
this refers to methods used to solve indicial equations. this is going to be applied here.
solution
[tex]( \frac{1.4^{3} }{1.2^{4} } )^{-6}[/tex]
Removing the negative sign in the indicial part of the equation we have:
[tex]( \frac{1.2^{4} }{1.4^{3} } )^{6}[/tex]
[tex]( \frac{1.2^{4 * 6} }{1.4^{3 * 6} } )[/tex]
[tex]( \frac{1.2^{24} }{1.4^{18} } )[/tex]
The last option is the correct option
Read more on Indicial equations here: https://brainly.com/question/4016557
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