Answer
$\frac{t^{11}}{27m^{2}}$
Work Step by Step
When dividing exponents with the same base, we subtract the exponents and keep the same base:
$3^{2 - 5}m^{5 - 7}t^{6 - (-5)}$
Subtract the exponents:
$3^{-3}m^{-2}t^{11}$
We cannot leave the answer this way with negative exponents. With negative exponents, we move the bases into the denominator, which will make the exponents positive:
$\frac{t^{11}}{3^{3}m^{2}}$
Simplify:
$\frac{t^{11}}{27m^{2}}$
