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simplify the expression.\\( \\frac{-15x^{8}yz^{3}}{3x^{7}yz} \\)

Question

simplify the expression.\\(
\frac{-15x^{8}yz^{3}}{3x^{7}yz}
\\)

Explanation:

Step1: Simplify the coefficients

$\frac{-15}{3} = -5$

Step2: Simplify $x$-terms using exponent rule

$x^{8-7} = x^1 = x$

Step3: Simplify $y$-terms using exponent rule

$y^{1-1} = y^0 = 1$

Step4: Simplify $z$-terms using exponent rule

$z^{3-1} = z^2$

Step5: Multiply all simplified parts

$-5 \times x \times 1 \times z^2$

Answer:

$-5xz^2$