Question

Express the result as the power of 5​

Answer 1

Answer:

${1}^{5} \: is \: \: the \: answer$

Step-by-step explanation:

$( ({ \frac{ - 2}{5}) }^{ - 7} \times ( { \frac{ - 2}{5} }^{9} )) \div { \frac{ - 2}{5} }^{2}$

since bases are same

$(( { \frac{ - 2}{5} )}^{ - 7 + 9} ) \div ({ \frac{ - 2}{5} )}^{2}$

$( { \frac{ - 2}{5} )}^{2} \div ( { \frac{ - 2}{5} )}^{2}$

$( { \frac{ - 2}{5} )}^{2 - 2}$

${( \frac{ - 2}{5} )}^{0}$

any number or raised to the power of zero is always equal to 1

$1$

Since the result is expressed as the power of 5

we can write

$1 \times 1 \times 1 \times 1 \times 1 = {1}^{5}$

${1}^{5} \: is \: \: the \: answer$