Question

Which expression is equivalent to 4^6 ⋅ 4^−8? 1 over 4 to the 2nd power 1 over 4 to the 14th power 42 414

Answer 1

`4^6*4^-^8 = 4^6^+^-^8=4^-^2= (1)/(4^2) = (1)/(16)`

Answer 2

`((1)/(4))^(2)`

Explanation:

`4^(6).4^(-8) = 4^(-2) add exponents since numbers have the same base</p><p>                          =[tex](1)/(4^(2) )` using exponent rules, the sign of the exponent changes when you take it to the denominator