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5 votes
Simplify the expression (5x^4y^-3)^-2 NEED HELP ASAP

asked
User MarkF
by
7.7k points

2 Answers

2 votes

The simplified version of (5x^4y^-3)^-2 would be y^6/25x^8 (this is a fraction)

Hope this helps :)

answered
User Salim Ibrohimi
by
7.8k points
1 vote

For this case we must simplify the following expression:


(5x ^ 4 * y ^ {-3}) ^ {-2}

By definition of power properties we have:


a ^ {-1} = \frac {1} {a ^ 1}

So:


(5x ^ 4 * y ^ {-3}) ^ {- 2} =\\(5x ^ 4 * \frac {1} {y ^ 3}) ^ {- 2} =\\\frac {1} {(\frac {5x ^ 4} {y ^ 3}) ^ 2} =\\\frac {y ^ 6} {25x ^ 8}

Answer:


\frac {y ^ 6} {25x ^ 8}

answered
User Rodrigo Murillo
by
9.2k points

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