Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =

Question

Mathematics

Kristin Barron

26 March, 21:11

Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =

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Darren Dickerson · Answer 1

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.

126/32 = (63*2) / (16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16.

In addition, since there are x terms on the top and bottom, they cancelled out as well.

x/x^3=1/x^2

This leaves an x^2 term on the bottom.

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.