Question

\\(\frac{-6z^{4}k^{5}}{-7z^{8}k^{2}}\\)

ways to simplify expressions

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Explanation:

Step1: Simplify coefficients

$\frac{-6}{-7} = \frac{6}{7}$

Step2: Simplify $z$-terms (subtract exponents)

$\frac{z^4}{z^8} = z^{4-8} = z^{-4} = \frac{1}{z^4}$

Step3: Simplify $k$-terms (subtract exponents)

$\frac{k^5}{k^2} = k^{5-2} = k^3$

Step4: Combine all simplified parts

$\frac{6}{7} \times \frac{1}{z^4} \times k^3$

Answer:

$\frac{6k^3}{7z^4}$