Question

simplify (4/9)power -12 ×(9/4) power -7 ×(3/2) power 5 ​

Answer 1

Answer:

The equation in the question can be written as:

$(\frac{9}{4} )^{12} (\frac{4}{9} )^{7} (\frac{3}{2} )^5$

=>   $(\frac{9}{4} )^{5} (\frac{3}{2} )^{5}$

=>   $((\frac{3}{2} )^{2})^{5} (\frac{3}{2} )^{5}$

=>   $(\frac{3}{2} )^{15}$