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(-3hk^(-6))/(-9h^(-7)j^(6)k^(0))

−3hk−6−9h−7j6k0 \frac{-3 h k^{-6}}{-9 h^{-7} j^{6} k^{0}}

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Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. −3hk−6−9h−7j6k0 \frac{-3 h k^{-6}}{-9 h^{-7} j^{6} k^{0}}
  1. Simplify Operations: Simplify the constants and variables separately.\newline(−3)/(−9)=1/3(-3)/(-9) = 1/3,\newlineh/h−7=h1+7=h8h/h^{-7} = h^{1+7} = h^8,\newlinek−6/k0=k−6k^{-6}/k^{0} = k^{-6},\newlinej6j^{6} remains as is in the denominator.
  2. Combine Simplified Parts: Combine the simplified parts. (13)⋅h8⋅k−6/j6(\frac{1}{3}) \cdot h^8 \cdot k^{-6} / j^6
  3. Rewrite for Clarity: Rewrite k−6k^{-6} as 1k6\frac{1}{k^6} for clarity.\newline13⋅h8k6⋅j6\frac{1}{3} \cdot \frac{h^8}{k^6 \cdot j^6}

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