Question

Rewrite the expression 4^3⋅4^3÷4^3⋅4^3 as an exponent with a single base, 4^x

Answer 1

$\text{Use}\\\\a^n\cdot a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\-----------------\\\\4^3\cdot4^3\div4^3\cdot4^3=4^{3+3-3+3}=4^6\\\\Answer:\ \boxed{4^6}$