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{(-6)to the power -7 ÷(-6) to the power -4×(-6)to the power 2 }×(6)to the power 0
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Answer:
-1/6
Step-by-step explanation:
(-6)⁻⁷ ÷ (-6)⁻⁴ * (-6)² * (-6)⁰
Applying the rule, xᵃ ÷ xᵇ = xᵃ⁻ᵇ for the underlined part,
= (-6)⁻⁷⁻⁽⁻⁴⁾ * (-6)² * (-6)⁰
= (-6)⁻⁷⁺⁴ * (-6)² * (-6)⁰
= (-6)⁻³ * (-6)² * (-6)⁰
Applying the rule, xᵃ * xᵇ = xᵃ⁺ᵇ ,
= (-6)⁻³⁺²⁺⁰
= (-6)⁻¹
Applying the rule, x⁻ᵃ = 1 / xᵃ ,
= -1/6¹
= -1/6
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