Answer:
2 is the exponent
Step-by-step explanation:
Given is an equation as
[tex]\frac{64}{81} =(\frac{8}{9} )^m[/tex]
and we have to find the exponent m
Since 64 and 81 are prime to each other we cannot simplify the fraction.
We find that both 64 and 81 are perfect squares of 8 and 9 respectively
Hence we write
[tex]\frac{64}{81} =(\frac{8^2}{9^2} )\\\frac{64}{81} =(\frac{8}{9} )^2[/tex]
Comparing m =2
