Question

simplify (-4\5)9÷(-4\5)10​

Answer 1

Answer:

$simplify$

$1.( \frac{ - 4}{5} )9 \div ( \frac{ - 4}{5} )10$

$= \frac{ - 36}{5} \div - 8$

$= \frac{ - 36}{5} \times \frac{1}{ - 8}$

$= \frac{ - 36}{ - 40}$

$= \frac{36}{40}$

$= \frac{9}{10}$

$= 0.9$

Answer 2

$\huge{ \text{ ❣Solution❣}}$

$\large{ \sf{ \red{( \frac{ - 4}{9} ) {}^{9} \div { (\frac{ - 4}{9}) }^{10} }}} \\ \\ \sf{ \large{ \rightarrow{( \frac{ - 4}{9} ) {}^{9 - 10} }}} \\ \\ \large{ \sf{ \rightarrow{ ({ \frac{ - 4}{5} )}^{ - 1} }}} \\ \\ \large{ \sf{ \boxed{ \rightarrow{ \orange{ \frac{5}{ - 4} }}}}}$

❖More Information:-

$\large{ \sf{ {a}^{x} \div {a}^{y} = {a}^{x - y} }}$

$\large{ \sf{ {a}^{x} \times {a}^{y} = {a}^{x + y} }}$

$\large{ \sf{a {}^{ - x} = \frac{1}{ {a}^{x} } }}$

✤Hope this helps!!!