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(-zx^(4)y^(0))/(-4x^(4)y^(0)z^(2))

−zx4y0−4x4y0z2 \frac{-z x^{4} y^{0}}{-4 x^{4} y^{0} z^{2}} =

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Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. −zx4y0−4x4y0z2 \frac{-z x^{4} y^{0}}{-4 x^{4} y^{0} z^{2}} =
  1. Simplify powers of y: First, simplify the powers of y since y0=1y^0 = 1.−zx4⋅1−4x4⋅1⋅z2=−zx4−4x4z2\frac{-zx^4 \cdot 1}{-4x^4 \cdot 1 \cdot z^2} = \frac{-zx^4}{-4x^4z^2}
  2. Cancel out common terms: Next, simplify the expression by canceling out common terms. The x4x^4 terms cancel out and one zz in the numerator and denominator cancels out. −z4z=−14\frac{-z}{4z} = -\frac{1}{4}

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