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What are the steps to (5xy^3)^2(xy)^4?

User Godwin
by
7.1k points

1 Answer

7 votes

Answer:

25x^6 y^10

Explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10

User Rares Dima
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6.3k points