Question

Which quotient does not belong with the other three?explain your reasoning?

Answer 1

Example:  $x^2$     The "x" is where the base is, the "2" is the power/exponent of the base

The 3rd quotient: $\frac{(-4)^8}{(-3)^4}$  does not belong with the other three because it has two different bases of -4 and -3. [You can't combine powers/exponents if they have different bases.]

The other quotients have the same bases:  

$\frac{(-10)^7}{(-10)^2}$    same base of -10

$\frac{6^3}{6^2}$      same base of 6

$\frac{5^6}{5^3}$     same base of 5