If x^{2} =y^{3} and y>1, what does x^frac{2}{3} equal in terms of y?

smileycellist2 2021-01-19 Answered
If x2=y3 and y>1, what does x23 equal in terms of y?
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Expert Answer

Layton
Answered 2021-01-20 Author has 89 answers

(X)2=(Y)3 & Y>1(given)
(X)23=(X2)13re
(X)mn=(X)m1n
compensate by (X)2=(Y)3
(X)23=(Y3)13=(Y)3×13=Y
thus
(X)23=Y
another answer
(X)2=(Y)3 ------------ take the cube root of both sides
(X2)13=((Y)3)13
(X2×13=Y3×13
(X)23=Y
answer ------------- (X)23=Y

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