Question

Rewrite the expression with the given base. 25^3x with a base of 5

Answer 1

`Use\ (a^n)^m=a^(nm)\\\\25^(3x)=(5^2)^(3x)=5^(2\cdot3x)=5^(6x)`

Answer 2

`\bf 25=5^2\qquad \qquad 25^(3x)\implies (5^2)^(3x)\implies 5^(2\cdot 3x)\implies 5^(6x)`