Question

Simplify and express in exponential form:
$-{625}^{-24}÷-{625}^{33}$

• A. $(625{)}^{-9}$
• B. $(-625{)}^{-57}$
• C. $-{25}^9$
• D. ${25}^{-104}$

Answer 1

The correct option is B $(-625{)}^{-57}$

$Using{a}^m÷a^n=a^{m-n}$,

$-{625}^{-24}÷-{625}^{33}=(-625{)}^{-24-33}=(-625{)}^{-57}$