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cupoosta [38]
2 years ago
14

(-2÷3)^-3 ÷ x = (9÷8)^-2​

Mathematics
1 answer:
ycow [4]2 years ago
6 0

Answer:

- 3⁷/2⁹

Step-by-step explanation:

  • (-2÷3)⁻³ ÷ x = (9÷8)⁻²
  • -(2⁻³)×3⁽⁻¹⁾ˣ⁽⁻³⁾ ÷ x = (3²)⁻²×(2⁻³)⁻²
  • -2⁻³×3³÷x = 3⁻⁴×2⁶
  • x = -2⁻³×3³ ÷ (3⁻⁴×2⁶)
  • x = - 2⁻³⁻⁶×3³⁻⁽⁻⁴⁾
  • x = -2⁻⁹×3⁷
  • x = - 3⁷/2⁹
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The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

<h3>How to simplify algebraic equations?</h3>

We want to simplify the algebraic equation;

1000(7x - 10) = 50(292 + 100x)

The first step is to use distributive property of equality to expand the bracket to get;

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