# How do you simplify the following expression (-7y)(-4y^5)?

Dec 4, 2016

$+ 28 {y}^{6}$

#### Explanation:

Simplying the given product is determined by multiplying the
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numbers and applying exponential property of multiplication.
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Multiplication of powers:
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${a}^{n} \times {a}^{m} = {a}^{n + m}$
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$\left(- 7 y\right) \left(- 4 {y}^{5}\right)$
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$= \left(- 7 \times - 4\right) \left(y \times {y}^{5}\right)$
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$= \left(- 7 \times - 4\right) \left({y}^{\textcolor{red}{1}} \times {y}^{5}\right)$
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$= + 28 {y}^{6}$