Write {8}^(3) / {4}^(3) * {2}^(5) as a single power of 2 . Show the work out

Question

Write


`{8}^(3) / {4}^(3) * {2}^(5)`
as a single power of 2 .


Show the work out

Answer 1

`8=2^3\\4=2^2\\\\8^3/4^3*2^5=(2^3)^3/(2^2)^3*2^5\\\\\text{Use}\ (a^n)^m=a^(n\cdot m)\\\\=2^(3\cdot3)/2^(2\cdot3)*2^5=2^9/2^6*2^5\\\\\text{Use}\ a^n* a^m=a^(n+m)\ \text{and}\ a^n/ a^m=a^(n-m)\\\\=2^(9-6+5)=2^8`

Answer 2

hehehehehehehe.......