Question

multiply and simplify.
\\(\frac{5w^8}{8w} \cdot \frac{7}{w}\\)

the simplified product is \\(\square\\).
(type a fraction.)

Explanation:

Step1: Multiply numerators and denominators

Multiply the numerators \(5w^8 \times 7\) and denominators \(8w \times w\). So we get \(\frac{5w^8 \times 7}{8w \times w}=\frac{35w^8}{8w^2}\).

Step2: Simplify using exponent rule

Using the rule \(a^m\div a^n = a^{m - n}\) for \(w\) terms. Here \(w^8\div w^2=w^{8 - 2}=w^6\). So the fraction becomes \(\frac{35w^6}{8}\).

Answer:

\(\frac{35w^6}{8}\)