Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

3hk69h7j6k0 \frac{-3 h k^{-6}}{-9 h^{-7} j^{6} k^{0}}

Full solution

Q. 3hk69h7j6k0 \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/h7=h1+7=h8h/h^{-7} = h^{1+7} = h^8,\newlinek6/k0=k6k^{-6}/k^{0} = k^{-6},\newlinej6j^{6} remains as is in the denominator.
  2. Combine Simplified Parts: Combine the simplified parts. (13)h8k6/j6(\frac{1}{3}) \cdot h^8 \cdot k^{-6} / j^6
  3. Rewrite for Clarity: Rewrite k6k^{-6} as 1k6\frac{1}{k^6} for clarity.\newline13h8k6j6\frac{1}{3} \cdot \frac{h^8}{k^6 \cdot j^6}

More problems from Find derivatives of using multiple formulae