simplify the question in math
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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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