Question

simplify and write the answer as a power of 10​

Answer 1

Answer:

1

Step-by-step explanation:

(-8/21)⁵÷(-8/21)²×(-8/21)³

(-8/21)⁵÷(-8/21)²+³

(-8/21)⁵÷(-8/21)⁵

(-8/21)⁰

1

Answer 2

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\: \: \huge \underline{ \boxed{ \bf{correct \: answer}}}$

$\\ \longrightarrow \displaystyle \sf{ \bigg( { \frac{ - 8}{21} } \bigg)^{5} \div \bigg( { \frac{ - 8}{21} } \bigg)^{2} \times \bigg({ \frac{ - 8}{21} } \bigg)^{3} }$

$\: \\ \longrightarrow \displaystyle \sf{ \bigg( { \frac{ - 8}{21} } \bigg)^{5} \div \bigg( { \frac{ - 8}{21} } \bigg)^{2 + 3} }$

$\: \: \\ \longrightarrow \displaystyle \sf{ \bigg( { \frac{ - 8}{21} } \bigg)^{5} \div \bigg( { \frac{ - 8}{21} } \bigg)^{5} }$

$\: \\ \: \longrightarrow \displaystyle \sf{ \bigg( { \frac{ \frac{ - 8}{21} }{ \frac{ - 8}{21} } } \bigg)^{5 - 5} }$

$\: \\ \: \: \longrightarrow \displaystyle \sf{ \bigg({ \frac{ \frac{ - 8}{21} }{ \frac{ - 8}{21} } } \bigg)^{0} }$

$\: \\ \: \longrightarrow \displaystyle \sf{1}$

$\: \: \\ \bigstar \underline{\boxed{ \bf{the \: answer \: will \: be \: 1}}}$