brandonts2006
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Which rules of exponents will be used to evaluate this expression? Check all that apply.

StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent

Respuesta :

mhanifa

Answer:

  • quotient of powers
  • power of a power
  • negative exponent

Step-by-step explanation:

Given

  • ( -8⁴)⁻⁵ / ( -8⁶)

Evaluating:

  • ( -8⁴)⁻⁵ / ( -8⁶)  =
  • ( -8⁴ˣ⁻⁵) / ( -8⁶) =           ⇒ Power of a power (nᵃ)ᵇ = nᵃᵇ
  • (-8⁻²⁰)/( -8⁶) =
  • 8⁻²⁰⁻⁶ =                        ⇒ Quotient of powers nᵃ/nᵇ = nᵃ⁻ᵇ
  • 8⁻²⁶ =
  • 1/8²⁶                            ⇒ Negative exponent n⁻ᵃ = 1 / nᵃ

Used rules:

  • quotient of powers
  • power of a power
  • negative exponent

Answer:

B-quotient of powers

C-power of a power

E-negative exponent

Step-by-step explanation:

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