Question

Simplify the variable expression. $$-\frac{3}{7}\left(-w^{2}\right)(7 w)$$

Short answer

\(-\frac{9}{7}w^{3}\)

Step-by-step solution

Distribute the -3/7 to both terms in the parenthesis

In this step, we are supposed to multiply \(-\frac{3}{7}\) by \(-w^{2}\) and \(7w\). Doing so we get \(-\frac{3}{7} * -w^{2} = \frac{3}{7}w^{2}\) and \(-\frac{3}{7} * 7w = -3w\).

Multiply the two resulting terms

Here we multiply \(\frac{3}{7}w^{2}\) by \(-3w\). Doing so, we get \(\frac{3}{7}w^{2} * -3w = -\frac{9}{7}w^{3}\). Applying the power rule \(a^{m}a^{n} = a^{m+n}\), the total exponent for \(w\) becomes \(2 + 1 = 3\).

Simplify the expression

After multiplication, the simplified expression becomes \(-\frac{9}{7}w^{3}\).