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Simplify the expression: (5w)/(7w^(4))

Simplify the expression: 5w7w4\frac{5w}{7w^{4}}

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Full solution

Q. Simplify the expression: 5w7w4\frac{5w}{7w^{4}}
  1. Recognize Structure and Identify Factors: Recognize the structure of the expression and identify common factors in the numerator and denominator.\newlineCalculation: (5w)/(7w4)(5w)/(7w^{4}) can be rewritten as 5w/(7⋅w4)5w / (7 \cdot w^4).
  2. Divide Common Factor 'w': Simplify the expression by dividing the common factor 'w'.\newlineCalculation: 5w7⋅w4=(57)⋅(ww4)=(57)⋅w1−4=(57)⋅w−3.\frac{5w}{7 \cdot w^4} = \left(\frac{5}{7}\right) \cdot \left(\frac{w}{w^4}\right) = \left(\frac{5}{7}\right) \cdot w^{1-4} = \left(\frac{5}{7}\right) \cdot w^{-3}.
  3. Rewrite with Positive Exponents: Rewrite the expression with positive exponents.\newlineCalculation: (57)×w−3=(57)×(1w3)(\frac{5}{7}) \times w^{-3} = (\frac{5}{7}) \times (\frac{1}{w^3}).

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