Question

simplify (-5/4) raise to power 3 * (-4/5) raise to power -3 divided by (-4/5) raise to power -4

Answer 1

Answer:

$( \frac{5}{4} )^{10}$

Step-by-step explanation:

$(\frac{ - 5}{4})^{3} \times ( \frac{ - 4}{5} )^{ - 3} \times {( \frac{ - 4}{5}) }^{ - 4}$

${( \frac{ - 5}{4}) }^{3} \times {( \frac{ - 5}{4} )}^{3} \times {( \frac{ - 5}{4} )}^{4}$

$- \frac{ {5}^{3} }{ {4}^{3} } \times \frac{ { - 5}^{3} }{ {4}^{3} } \times \frac{ {5}^{4} }{ {4}^{4} }$

$\frac{ {5}^{(3 + 3 + 4)} }{ {4}^{(3 + 3 + 4)} }$

$\frac{ {5}^{10} }{ {4}^{10 } }$

$( \frac{5}{4} )^{10}$