Question

Find the product of
$\bf ( - \frac{10}{3} {pq}^{3} ) \times ( \frac{6}{5} {p}^{3} q)$
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Answer 1

Given:

$\sf\bull ( - \frac{10}{3} {pq}^{3} ) \times ( \frac{6}{5} {p}^{3} q)$

Find:

$\sf Calculate \: the \: product \: of : \\ \sf( - \frac{10}{3} {pq}^{3} ) \times ( \frac{6}{5} {p}^{3} q)$

Solution:

Here,

$\underline{\boxed{\sf \to( - \frac{10}{3} {pq}^{3} ) \times ( \frac{6}{5} {p}^{3} q)}}$

Now, let's find it's product✒️

$\sf :\implies( - \frac{10}{3} {pq}^{3} ) \times ( \frac{6}{5} {p}^{3} q)$ $\sf :\implies( - \frac{10}{3} \times \frac{6}{5} ) \times (p {q}^{3} \times {p}^{3}q )$

$\sf we, know \: that\quad {p}^{2} \times {p}^{2} = {p}^{2+2} = {p}^{4} \:So, \: by \: using \: this$

$\sf :\implies( - 4)( {p}^{3+1} {q}^{3+1} )$

$\sf :\implies - 4 {p}^{4} {q}^{4}$

Hence, the required answer will be -4p⁴q⁴.

Answer 2

Answer :

➥ Product = -4p⁴q⁴

Given :

➤ $\sf \bigg( - \dfrac{10}{3} {pq}^{3}\bigg ) \times \bigg( \dfrac{6}{5} {p}^{3} q\bigg)$

To Find :

➤ Product = ?

Required Solution :

$\tt{: \implies \bigg( \dfrac{ - 10}{3} {pq}^{3} \bigg) \times \bigg(\dfrac{6}{5} {p}^{3} q \bigg)}$

$\tt{: \implies \bigg( \dfrac{ \cancel{- 10}}{ \cancel{ \: 3 \: }} \bigg) \times \bigg( \dfrac{ \cancel{ \: 6 \: }}{ \cancel{ \: 5 \: }} \bigg) \times p \times {p}^{3} \times {q}^{3} \times q}$

$\tt{: \implies \bigg(\dfrac{ - 2}{1} \bigg) \times \bigg(\dfrac{ 2}{1} \bigg) \times {p}^{4} {q}^{4} }$

$\tt{: \implies - 2 \times 2 \times {p}^{4} {q}^{4}}$

$\tt{: \implies - 4\times {p}^{4} {q}^{4}}$

$\bf{: \implies \underline{ \: \: \underline{ \: \: - 4{p}^{4} {q}^{4} \: \: } \: \: }}$

║Hence, the product is -4p⁴q⁴.║