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Exponents with Unlike Bases and Same Exponent

Question

Find the value of $(- 10 m^{2} n^{2}) \times (- 20 m n^{15})$ for $m = 1.2$ and $n = - 1$ .

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Solution

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$(- 10 m^{2} n^{2}) \times (- 20 m n^{15})$
$= 200 m^{3} n^{17}$
$= 200 {(1.2)}^{3} {(- 1)}^{17}$
$= \frac{- 200 \times 12 \times 12 \times 12}{10 \times 10 \times 10}$
$= - \frac{3456}{10}$
$= - 345.6$

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