Question

simplify the expression below

1. \\(\frac{(x^5y^7)(2xz)^3}{4(x^2y^2)^3}\\) =

Explanation:

Step1: Expand all power terms

$\frac{(x^5y^7)(2^3x^3z^3)}{4(x^{6}y^{6})} = \frac{(x^5y^7)(8x^3z^3)}{4x^{6}y^{6}}$

Step2: Multiply numerator terms

$\frac{8x^{5+3}y^7z^3}{4x^6y^6} = \frac{8x^8y^7z^3}{4x^6y^6}$

Step3: Simplify coefficients and exponents

$\frac{8}{4}x^{8-6}y^{7-6}z^3 = 2x^2yz^3$

Answer:

$2x^2yz^3$