Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: (3n^(-6)m^(2))/(18m^(-3)n^(-5))

Simplify: 3n6m218m3n5\frac{3n^{-6}m^{2}}{18m^{-3}n^{-5}}

Full solution

Q. Simplify: 3n6m218m3n5\frac{3n^{-6}m^{2}}{18m^{-3}n^{-5}}
  1. Simplify coefficients and variables: Simplify the coefficients and variables separately.\newline(\frac{3}{18}) \times (n^{(-6)}/n^{(-5)}) \times (m^{2}/m^{(-3)})\(\newline= (\frac{1}{6}) \times n^{(-6+5)} \times m^{(2+3)}\)
  2. Calculate powers for n and m: Calculate the powers for n and m. n1×m5n^{-1} \times m^{5}
  3. Combine the results: Combine the results.\newline(16)n1m5(\frac{1}{6}) \cdot n^{-1} \cdot m^{5}\newline= (m56n)(\frac{m^5}{6n})

More problems from Find derivatives of using multiple formulae