Question

simplify. express your answer using positive exponents. \\(\frac{4h^{8}}{2h^{6}\cdot h}\\)

Explanation:

Step1: Simplify denominator exponents

When multiplying terms with the same base, add exponents: $h^6 \cdot h = h^{6+1}=h^7$. So the expression becomes $\frac{4h^8}{2h^7}$.

Step2: Simplify coefficient constants

Divide the numerical coefficients: $\frac{4}{2}=2$.

Step3: Simplify variable exponents

When dividing terms with the same base, subtract exponents: $\frac{h^8}{h^7}=h^{8-7}=h^1=h$.

Step4: Combine results

Multiply the simplified coefficient and variable: $2 \cdot h$.

Answer:

$2h$