Question

Plzz give step by step explanation
$1) \: \: \: 2 {a}^{2} \times ( - 5 {a}^{2} b) \times( - 4a {b}^{2} )$
$2) \: \: \: 5 {p}^{2} q \times 2pq \times ( - 10p {q}^{2} r)$
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★Plzz answer both the question
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Answer 1

a)

$\large\underline{ \underline{ \green{ \bold{solution}}}} = >$

$= > \bf2a {}^{2} \times ( - 5a {}^{2} b) \times ( - 4ab {}^{2} ) \\ \\ = > \bf2a {}^{2} \times - 5a {}^{2} \times - 4ab {}^{2} \\ \\ = \bf40a {}^{5} b {}^{3}$

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b)

$= > \bf5p {}^{2} \times 2pq \times ( - 10pq {}^{2} r) \\ \\ = > \bf5p {}^{2} q \times 2pq \times - 10pq {}^{2} r \\ \\\bf = > - 100p {}^{4} q {}^{4} r$

Answer 2

Step-by-step explanation:

$1) \: \: 2 {a}^{2} \times ( - 5 {a}^{2} b) \times ( - 4a {b}^{2} ) \\ = 2 \times - 5 \times - 4 \times {a}^{2} \times {a}^{2} \times a \times b \times {b}^{2} \\ = 40 \times {a}^{2 + 2 + 1} \times {b}^{1 + 2} \\ = 40 \times {a}^{5} \times {b}^{3} \\ = 40 {a}^{5 } {b}^{3}$

$2)5 {p}^{2} q \times 2p q\times ( - 10 p{q}^{2} r) \\ = 5 \times 2 \times - 10 \times {p}^{2} \times p \times p \times q \times q \times {q}^{2} \times r \\ = - 100 \times {p}^{2 + 1 + 1} \times {q}^{1 + 1 + 2} \times r \\ = - 100 \times {p}^{4} \times {q}^{4} \times r \\ = - 100 {p}^{4} {q}^{4} r$

Hope this is help for you.....