Question

1. $3x^{-2}y^{8} cdot 7x^{4}z^{-3}$

Explanation:

Step1: Multiply constant coefficients

$3 \times 7 = 21$

Step2: Combine $x$-terms via exponent addition

$x^{-2} \times x^{4} = x^{-2+4} = x^{2}$

Step3: Keep $y$-term (no like terms)

$y^{8}$

Step4: Keep $z$-term (no like terms)

$z^{-3} = \frac{1}{z^{3}}$

Step5: Combine all simplified terms

$21 \times x^{2} \times y^{8} \times \frac{1}{z^{3}}$

Answer:

$21x^{2}y^{8}z^{-3}$ or $\frac{21x^{2}y^{8}}{z^{3}}$