Simplify,giving solution with positive index
$(- 4 x) (- 5 x^{2})$

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Solution

Step: simplifying using laws of exponents

Given , $(- 4 x) (- 5 x^{2})$

it can be written as:

$(- 4 x) (- 5 x^{2})$

$= (- 1) \times (- 1) \times 4 \times 5 \times x^{1 + 2}$

[ $∵ a^{m} \times a^{n} = a^{m + n}$ ]

Here $= - 1^{1 + 1} .20 x^{3}$

$= 20 x^{3}$

Hence, $(- 4 x) (- 5 x^{2}) = 20 x^{3}$ .

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