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Grade 10Algebra

Question no. 39: x to the power (x+y) is equal to y³ and y to the power (x+y) is equals to x to the power 6 multiplied by y³, then what is the value of y to the power x..?

Question image for Question no. 39: x to the power (x+y) is equal to

Kumar Sujal

7 Years agoGrade 10

1 Answer

Arun

Approved Tutor Answer7 Years ago

Dear student

On multiplying

xy^(x+y) = (xy)^6

hence x + y = 6

hence x = 2, y = 4 or x = 4, y = 2 ( on option checking)

so y^x = 16

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