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/ a^m=a^(n-m)\\-----------------\\\\4^3\cdot4^3/4^3\cdot4^3=4^(3+3-3+3)=4^6\\\\Answer:\ \boxed{4^6}`