Asked by jen
Hi I need help with this exponent problem.
(x^-1 + y^-1)^-2
thank you
(x^-1 + y^-1)^-2
thank you
Answers
Answered by
bobpursley
I assume it is to simplify.
1/(1/x + 1/y)<sup>2</sup>
(xy)<sup>2</sup>/(y+x)<sup>2</sup>
remember this: (a+b)^2=(a+b)(a+b) so in
the denominator this happened
(xy)(1/x+1/y)(xy)(1/x+1/y)
(y+x)^2
1/(1/x + 1/y)<sup>2</sup>
(xy)<sup>2</sup>/(y+x)<sup>2</sup>
remember this: (a+b)^2=(a+b)(a+b) so in
the denominator this happened
(xy)(1/x+1/y)(xy)(1/x+1/y)
(y+x)^2
Answered by
jen
thank you very much
Answered by
Damon
_____1_______
(1/x + 1/y)^2
_________1_________
(1/x^2 + 2/xy + 1/y^2)
______x^2_y^2______
(y^2 + 2xy +x^2)
or
_x^2_y^2_
(x+y)^2
(1/x + 1/y)^2
_________1_________
(1/x^2 + 2/xy + 1/y^2)
______x^2_y^2______
(y^2 + 2xy +x^2)
or
_x^2_y^2_
(x+y)^2
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