Question

rewrite the expression in the form $k \cdot z^n$.
write the exponent as an integer, fraction, or an exact decimal (not
a mixed number).
\\(\dfrac{10\sqrt3{z}}{2z^2} = \\) \boxed{

• + x =

}

Explanation:

Step1: Simplify coefficients

$\frac{10}{2}=5$

Step2: Rewrite cube root as exponent

$\sqrt[3]{z}=z^{\frac{1}{3}}$

Step3: Combine z terms

$z^{\frac{1}{3}} \div z^2 = z^{\frac{1}{3}-2}=z^{-\frac{5}{3}}$

Step4: Combine results

$5 \cdot z^{-\frac{5}{3}}$

Answer:

$5z^{-\frac{5}{3}}$