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Simplify.

Write your answer using only a positive exponent.
Assume that the variable represents a positive real number.


Simplify Write Your Answer Using Only A Positive Exponent Assume That The Variable Represents A Positive Real Number class=

Answer :

Simplify: [{y^(2/7)}/{y^(1/2)}]

Since, [{a^(p/q)}/{a^(r/s)}] = a^{(p/q)-(r/s)}

Where,

  • a = p
  • p/q = 2/7 and
  • r/s = 1/2

so,

= y^{(2/7)-(1/2)}

Take the LCM of denominator i.e.,2 & 7 is 14.

= y^{(2*2 - 1*7)/14}

= y^{(4-7)/14}

= y^(-3/14) Ans.

read more similar questions: Which equation can be simplified to find the inverse of y = x2 – 7? a: x=y ^ 2 - 1/7 b: 1/x = y^2 - 7 c: x = y^2 – 7 d: –x = y^2 – 7..

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