Question

Find the missing value if $(\frac{8}{9}{)}^5=\frac{8^5}{?}$

• A. $9^{-5}$
• B. $-9^5$
  
• C. $8^5$
• D. $9^5$

Answer 1

The correct option is D $9^5$

By the Laws of Exponents, we know that $(\frac{a}{b}{)}^m=\frac{(a{)}^m}{(b{)}^m}$
$\Rightarrow$$(\frac{8}{9}{)}^5=\frac{(8{)}^5}{(9{)}^5}$
so, the missing value is $9^5$