Math, asked by harleen1067a, 11 months ago

Simplify and express in positive power: (4-² × 4-³) ÷ 6-⁶

Answers

Answered by 1KingArjun
1

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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