Question

Which rules of exponents will be used to evaluate this expression? Check all that apply.

Answer 1

Answer:

product of powers

quotient of powers

negative exponent

Answer 2

Answer:

A: product of powers

B: quotient of powers

E: negative exponent

Step-by-step explanation:

Let's evaluate to see which several rules we would be applying in each step

$\frac{((-8)^4)^{-5}}{(-8)^6}$

$\frac{((-8)^{4*-5}}{(-8)^6}$ (power of a power)

$\frac{(-8)^{-20}}{(-8)^6}$

$(-8)^{-20 - 6}$ (quotient of powers)

$(-8)^{-26}$

$\frac{1}{(-8)^{26}}$ (negative exponent)

Thus, the rules of exponents we have applied to far are:

A: product of powers

B: quotient of powers

E: negative exponent