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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (6x^(4))/(7x^(3)) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline6x47x3 \frac{6 x^{4}}{7 x^{3}} \newlineAnswer:

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Q. Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline6x47x3 \frac{6 x^{4}}{7 x^{3}} \newlineAnswer:
  1. Identify Common Factors: Identify common factors in the numerator and the denominator.\newlineThe common factor here is x3x^{3}, which is present in both the numerator and the denominator.
  2. Divide by Common Factor: Divide both the numerator and the denominator by the common factor x3x^{3}.6x47x3=6x3⋅x4x3\frac{6x^{4}}{7x^{3}} = \frac{6}{x^{3}} \cdot \frac{x^{4}}{x^{3}}
  3. Simplify Using Exponents: Simplify the expression using the laws of exponents. x4/x3=x4−3=x1=xx^{4}/x^{3} = x^{4-3} = x^{1} = x
  4. Multiply Simplified Fraction: Multiply the simplified fraction.\newline(6x3)×x=6×xx3=6x(3−1)=6x2(\frac{6}{x^{3}}) \times x = \frac{6 \times x}{x^{3}} = \frac{6}{x^{(3-1)}} = \frac{6}{x^{2}}\newlineHowever, this step contains a mistake. We should have canceled out x3x^{3} in both the numerator and the denominator, which would have left us with 6x0=6\frac{6}{x^{0}} = 6.

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