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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (22 x)/(55x^(4)) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline22x55x4 \frac{22 x}{55 x^{4}} \newlineAnswer:

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline22x55x4 \frac{22 x}{55 x^{4}} \newlineAnswer:
  1. Factor out common terms: Factor out the common terms in the numerator and the denominator.\newlineThe fraction (22x)/(55x4)(22x)/(55x^{4}) has a common factor of 22x22x in the numerator and the denominator.\newlineWe can simplify the fraction by dividing both the numerator and the denominator by this common factor.
  2. Divide by common factor: Divide the numerator and the denominator by the common factor. (22x)/(55x4)=(22/55)⋅(x/x4)(22x)/(55x^{4}) = (22/55) \cdot (x/x^{4}) Now, simplify the numerical part by dividing 2222 by 5555. 22÷55=2÷522 \div 55 = 2 \div 5
  3. Simplify numerical part: Simplify the variable part by subtracting the exponents. xx4=x1−4=x−3\frac{x}{x^{4}} = x^{1-4} = x^{-3}
  4. Simplify variable part: Combine the simplified numerical and variable parts.\newline(25)×x−3=(25)×(1x3)(\frac{2}{5}) \times x^{-3} = (\frac{2}{5}) \times (\frac{1}{x^{3}})
  5. Combine parts: Write the final simplified form of the fraction.\newlineThe fraction is now simplified completely as (25x3)(\frac{2}{5}x^{3}).

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