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Simplify: ((1)/(9x))/((9)/(8x^(3)))

Simplify:19x98x3\frac{\frac{1}{9x}}{\frac{9}{8x^{3}}}

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Full solution

Q. Simplify:19x98x3\frac{\frac{1}{9x}}{\frac{9}{8x^{3}}}
  1. Simplify Division of Fractions: Simplify the division of fractions by multiplying by the reciprocal of the divisor.\newlineCalculation: (19x)×(8x39)\left(\frac{1}{9x}\right) \times \left(\frac{8x^3}{9}\right)
  2. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newlineCalculation: (1×8x3)/(9x×9)(1 \times 8x^3) / (9x \times 9)
  3. Simplify Expression: Simplify the expression by cancelling and reducing terms.\newlineCalculation: (8x3)/(81x)(8x^3) / (81x)
  4. Cancel xx in Numerator and Denominator: Cancel xx in the numerator and denominator.\newlineCalculation: (8x2)/81(8x^2) / 81

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