Question

(3p^2qr^3)×(-4p^3qr^2)×(7pq^3r)​

Answer 1

Answer:

$-84p^{6}q^{5}r^{6}$

Step-by-step explanation:

Given expression,

$(3p^2qr^3)\times (-4p^3qr^2)\times (7pq^3 r)$

$-84\times p^2\times q\times r^3\times p^3\times q\times r^2 \times p\times q^3\times r$

Using the product rule of exponent,

i.e. $a^m.a^n = a^{m+n}$

$-84p^{2+3+1}q^{1+1+3}r^{3+2+1}$

$-84p^{6}q^{5}r^{6}$

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Properties of exponent :

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Answer 2

The simplified form of given expression is $-84p^{6}q^{5}r^{6}$.

Step-by-step explanation:

The given expression is

$(3p^2qr^3)\times (-4p^3qr^2)\times (7pq^3r)$

Combine the like terms.

$3(-4)(7)\times (p^2p^3p)\times (qqq^3)\times (r^3r^2r)$

Using the properties of exponent, we get

$-84\times p^{(2+3+1)}\times q^{(1+1+3)}\times r^{(3+2+1)}$         $[\because a^ma^n=a^{m+n}]$

$-84\times p^{6}\times q^{5}\times r^{6}$

$-84p^{6}q^{5}r^{6}$

Therefore, the simplified form of given expression is $-84p^{6}q^{5}r^{6}$.

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