Simplify and verify for $p=1$ and $q=1$: $( p^{2} \times3p^{3}\times(-8p^{5})$.

 Given: $( p^{2} \times3p^{3}\times(-8p^{5})$.

To do: To simplify and verify $( p^{2} \times3p^{3}\times(-8p^{5})$ for  $p=1$ and $q=1$.

Solution: 

$( p^{2} \times3p^{3}\times(-8p^{5})=3\times( -8)\times p^2\times p^3\times p^5$

$\Rightarrow ( p^{2} \times3p^{3}\times(-8p^{5})=-24p^{2+3+5}$

$\Rightarrow ( p^{2} \times3p^{3}\times(-8p^{5})=-24p^{10}$

For $p=1$ and $q=1$:

$L.H.S.=( 1)^2\times3( 1)^3\times( -8( 1)5)=-24$ and $R.H.S.=-24( 1)^{10}=-24$

Thus, $L.H.S.=R.H.S.$, simplified and verified.

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Updated on: 10-Oct-2022

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