Math, asked by seemathakur1912, 2 months ago

simplify the question in math​

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Answered by yogeshgangwar044
0

Answer:

11/1152

Step-by-step explanation:

(number)⁻ˣ = 1/(number)ˣ  We will do the reciprocal of the number.

The question is

2⁻⁷ × 6⁻⁷ × 132 / 3⁻⁴ × 2⁻⁵

After doing the reciprocal we get,

= 2⁵ × 3⁴ × 132 / 2⁷ × 6⁷

132 can be written as 2×2×3×11

= 2⁵×3×3×3×3×2×2×3×11 / 2⁷×6×6×6×6×6×6×6

= 2⁵×2²×3⁵×11 / 2⁷×6⁵×6×6

xᵃ × xᵇ = xᵃ⁺ᵇ ∴ 2⁵×2² = 2⁵⁺² = 2⁷  and 3⁵/6⁵ = 1/2⁵

= 2⁷×11 / 2⁷×36×2⁵ = 11 / 36×32

= 11/1152

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