Simplify and express in positive power: (4-² × 4-³) ÷ 6-⁶
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Answer:
3⁶
Step-by-step explanation:
(4⁻² × 4⁻³) ÷ 6⁻⁶
= 1/4² × 1/4³ × 1/6⁻⁶
= 1/4² ⁺ ³ × 6⁶
= 6⁶/4⁵
= 2⁶ × 3⁶/4⁵
= 4⁵ × 3⁶/4⁵ [∵ 2² = 4 , ∴ 2⁶ = 4⁵]
= 4⁵⁻⁵ × 3⁶
= 4⁰ × 3⁶
= 3⁶
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