Question

PLEASE HELP Which values of a and b that make the following equation correct?


`(2^(a) *3^(2b))^(5) =6^(20)`

Answer 1

`\\ \sf\longmapsto (2^a* 3^(2b))^5=6^(20)`

`\\ \sf\longmapsto 2^(5a)* 3^(10b)=(2* 3)^(20)`

`\\ \sf\longmapsto 2^(5a)* 3^(10b)=2^(20)* 3^(20)`

On comparing

`\\ \sf\longmapsto 5a=20`

`\\ \sf\longmapsto a=(20)/(5)=4`

And

`\\ \sf\longmapsto 10b=20`

`\\ \sf\longmapsto b=(20)/(10)=2`