Question

Simplify the expression 4^-2*2^6 over 4^2*2^2

Answer 1

`4=2^2\\------------\\\\(4^(-2)\cdot2^6)/(4^2\cdot2^2)=((2^2)^(-2)\cdot2^6)/((2^2)^2\cdot2^2)=(2^(-4)\cdot2^6)/(2^4\cdot2^2)=(2^(-4+6))/(2^4\cdot2^2)=(2^2)/(2^4\cdot2^2)=(1)/(2^4)=(1)/(16)\\\\---------------------\\\\Used:\\\\(a^n)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)`