Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[An{s}^{2}wer-\frac{7}{5}\times \frac{1}{3}+\frac{7}{5}\times \frac{-2}{3}\]
Regroup terms.
\[Ane{s}^{2}wr-\frac{7}{5}\times \frac{1}{3}+\frac{7}{5}\times \frac{-2}{3}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[Ane{s}^{2}wr-\frac{7\times 1}{5\times 3}+\frac{7}{5}\times \frac{-2}{3}\]
Simplify \(7\times 1\) to \(7\).
\[Ane{s}^{2}wr-\frac{7}{5\times 3}+\frac{7}{5}\times \frac{-2}{3}\]
Simplify \(5\times 3\) to \(15\).
\[Ane{s}^{2}wr-\frac{7}{15}+\frac{7}{5}\times \frac{-2}{3}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[Ane{s}^{2}wr-\frac{7}{15}+\frac{7\times -2}{5\times 3}\]
Simplify \(7\times -2\) to \(-14\).
\[Ane{s}^{2}wr-\frac{7}{15}+\frac{-14}{5\times 3}\]
Simplify \(5\times 3\) to \(15\).
\[Ane{s}^{2}wr-\frac{7}{15}+\frac{-14}{15}\]
Move the negative sign to the left.
\[Ane{s}^{2}wr-\frac{7}{15}-\frac{14}{15}\]
Collect like terms.
\[Ane{s}^{2}wr+(-\frac{7}{15}-\frac{14}{15})\]
Simplify.
\[Ane{s}^{2}wr-\frac{7}{5}\]
An*e*s^2*w*r-7/5
