Question
Find the products:
$\Big(\frac{-13}{5}\text{ab}^2\text{c}\Big)\times \Big(\frac{7}{3}\text{a}^2\text{bc}^2\Big)$
$\Big(\frac{-13}{5}\text{ab}^2\text{c}\Big)\times \Big(\frac{7}{3}\text{a}^2\text{bc}^2\Big)$
✓
Answer
$\Big(\frac{-13}{5}\text{ab}^2\text{c}\Big)\times \Big(\frac{7}{3}\text{a}^2\text{bc}^2\Big)$
$=\frac{13}{5}\times \frac{7}{3}\text{a}\times \text{a}^2\times \text{b}^2\times \text{b}\times \text{c}\times \text{c}^2$
$=\frac{-91}{15}\text{a}^{1+2}\times \text{b}^{2+1}\times \text{c}^{1+2}$
$=\frac{-91}{15}\text{a}^3\text{b}^3\text{c}^3$
$=\frac{13}{5}\times \frac{7}{3}\text{a}\times \text{a}^2\times \text{b}^2\times \text{b}\times \text{c}\times \text{c}^2$
$=\frac{-91}{15}\text{a}^{1+2}\times \text{b}^{2+1}\times \text{c}^{1+2}$
$=\frac{-91}{15}\text{a}^3\text{b}^3\text{c}^3$
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