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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (12x^(4))/(5x^(2)) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline12x45x2 \frac{12 x^{4}}{5 x^{2}} \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.\newline12x45x2 \frac{12 x^{4}}{5 x^{2}} \newlineAnswer:
  1. Divide by common power: To simplify the fraction (12x4)/(5x2)(12x^{4})/(5x^{2}), we need to divide both the numerator and the denominator by the highest power of xx that is common to both, which is x2x^{2}.\newlineCalculation: (12x4)/(5x2)=(12/5)∗(x4−2)(12x^{4})/(5x^{2}) = (12/5) * (x^{4-2})
  2. Simplify powers of x: Now we simplify the powers of x by subtracting the exponents.\newlineCalculation: x(4−2)=x2x^{(4-2)} = x^{2}
  3. Final fraction simplification: The fraction now simplifies to (125)×x2(\frac{12}{5}) \times x^{2}. There is no further simplification possible for the numerical part (125)(\frac{12}{5}), and the xx terms have been simplified correctly.

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