Math, asked by rajdeep55, 4 days ago

[p ^ (a - b)] ^ c * [p ^ (a - c)] ^ b * [p ^ (- a)] ^ a * [p ^ b] ^ c

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Answered by Rahul7895
1

Answer:

( {p}^{(a - b)})^{c}  \times  ({p}^{(a - c)} )^{b}  \\  \times ( {p}^{( - a)} )^{a}    \times  ({p}^{b} ) ^{c}  \\  =  > ( {p}^{ac - bc} ) \times  ({p}^{ab - bc} ) \\  \times ( {p}^{ - ( {a}^{2}) } ) \times  {p}^{bc}  \\=> ( {p}^{ac - bc +ab  - bc} ) \times  ({p}^{ - ( {a}^{2}) + bc } ) \\ = > ( {p}^{ac - bc + ab - bc - ( {a}^{2}) + bc } ) \\= >  {p}^{ac - bc + ab - ( {a}^{2}) }

Hope it helps

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