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

A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent

Which Rules Of Exponents Will Be Used To Evaluate This Expression Check All That Apply A Product Of Powers B Quotient Of Powers C Power Of A Power D Power Of A class=

Sagot :

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

[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]

[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)

[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]

[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)

[tex] (-8)^{-26} [/tex]

[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)

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

A: product of powers

B: quotient of powers

E: negative exponent

Answer:

product of powers

quotient of powers

negative exponent