Question

nber 7
\\(\frac{6x^4y^2z^3}{30xyz^2}\\)
i
check my work

Explanation:

Step1: Simplify the coefficient

Divide the coefficient 6 by 30: $\frac{6}{30}=\frac{1}{5}$

Step2: Simplify the x - term

Using the rule of exponents $a^m\div a^n = a^{m - n}$, for $x$: $x^{4}\div x^{1}=x^{4 - 1}=x^{3}$

Step3: Simplify the y - term

For $y$: $y^{2}\div y^{1}=y^{2 - 1}=y^{1}=y$

Step4: Simplify the z - term

For $z$: $z^{3}\div z^{2}=z^{3 - 2}=z^{1}=z$

Step5: Combine all simplified terms

Multiply the simplified coefficient, x - term, y - term, and z - term together: $\frac{1}{5}\times x^{3}\times y\times z=\frac{x^{3}yz}{5}$

Answer:

$\frac{x^{3}yz}{5}$