jareeeskew12 jareeeskew12

25-01-2019
Mathematics

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Which expression is equivalent to (9x2y6)−1/2?

Which expression is equivalent to 9x2y612 class=

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sqdancefan sqdancefan

25-01-2019

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

[tex]\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}[/tex]

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