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Plz help me with this sum, see the pic. Thank you

Plz help me with this sum, see the pic. Thank you-example-1
User Nivlam
by
8.2k points

1 Answer

6 votes

Answer:


{5}^(8) {x}^(6)

Explanation:


\bigg( \frac{125 {x}^( - 3) }{ {5}^( - 3) * 25 * {x}^( - 6) } \bigg)^(2) \\ \\ = \bigg( \frac{ {5}^(3) {x}^( - 3) }{ {5}^( - 3) * {5}^(2) * {x}^( - 6) } \bigg)^(2) \\ \\ = {( {5}^(3 + 3 - 2) {x}^( - 3 + 6) })^(2) \\ = {( {5}^(6 - 2) {x}^(3) )}^(2) \\ = {( {5}^(4) {x}^(3)) }^(2) \\ = {5}^(4 * 2) {x}^(3 * 2) \\ = {5}^(8) {x}^(6) \\

User Lucas Jones
by
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