Answer:
To simplify the expression, we can use the property of exponents that states:
a^m * a^n = a^(m + n)
In this case, we have:
(-5/6)^(-6) * (-5/6)^(-3) = (-5/6)^(3 * -1)
Now, let's simplify each side of the equation separately:
On the left side:
(-5/6)^(-6) * (-5/6)^(-3) = (-5/6)^(-6 + -3) = (-5/6)^(-9)
On the right side:
(-5/6)^(3 * -1) = (-5/6)^(-3)
Since both sides of the equation simplify to the same expression, we can conclude that:
(-5/6)^(-6) * (-5/6)^(-3) = (-5/6)^(3 * -1)
Therefore, the equation is true.