Question

simplify the expression.\\((-xy^{5}z)(x^{2}y^{4}z)(8x^{5}yz)\\)

Explanation:

Step1: Multiply constant coefficients

$(-1) \times 1 \times 8 = -8$

Step2: Combine $x$ terms (add exponents)

$x^1 \times x^2 \times x^5 = x^{1+2+5} = x^8$

Step3: Combine $y$ terms (add exponents)

$y^5 \times y^4 \times y^1 = y^{5+4+1} = y^{10}$

Step4: Combine $z$ terms (add exponents)

$z^1 \times z^1 \times z^1 = z^{1+1+1} = z^3$

Step5: Multiply all combined terms

$-8 \times x^8 \times y^{10} \times z^3$

Answer:

$-8x^8y^{10}z^3$