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
$125^{2x} = (5*5*5)^{2x} = ( 5^{3} )^{2x} = 5^{3*2x} =5^{6x}$