Question

Rewrite the expression with the given base.

125^2x with a base of 5

Answer 1

we should know that

`(a^(m) )^(n) = a^(m*n)`
125 = 5 * 5 * 5

so, the given expression can be rewritten as following

`125^(2x) = (5*5*5)^(2x) = ( 5^(3) )^(2x) = 5^(3*2x) =5^(6x)`