Answer to Question #199331 in Algebra for Steezy

Question

a^3x+5_/ a^3x-1

Answer 1

We need to solve $\tfrac{a^{\smash{3x+5}}} {a^{\smash{3x-1}}}$

We know that $\frac{a^m} {a^n} =a^{\smash{m-n}}$

So, $\tfrac{a^{\smash{3x+5}}} {a^{\smash{3x-1}}} =$ $a^{\smash{(3x+5) - (3x-1)}}$ $=a^{\smash{3x+5 -3x+1}} =$ $a^6$ (ans)