Question

1. simplify.

\\(\frac{90x^{9}y^{6}z^{9}}{10x^{7}y^{3}z^{14}}\\)

Explanation:

Step1: Simplify the numerical coefficients

$\frac{90}{10} = 9$

Step2: Simplify the $x$-terms using exponent rule

$x^{9-7} = x^2$

Step3: Simplify the $y$-terms using exponent rule

$y^{6-3} = y^3$

Step4: Simplify the $z$-terms using exponent rule

$z^{9-14} = z^{-5} = \frac{1}{z^5}$

Step5: Combine all simplified terms

$9 \times x^2 \times y^3 \times \frac{1}{z^5}$

Answer:

$\frac{9x^2y^3}{z^5}$