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x6x8=□\dfrac{x^{6}}{x^{8}}=\Box

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. x6x8=□\dfrac{x^{6}}{x^{8}}=\Box
  1. Apply Quotient Rule: To simplify the expression x6/x8x^6/x^8, we use the quotient rule for exponents which states that when dividing like bases, we subtract the exponents.\newlineCalculation: x6/x8=x6−8=x−2x^6/x^8 = x^{6-8} = x^{-2}
  2. Simplify Negative Exponent: Since x−2x^{-2} is not in simplified form, we express it as a positive exponent by taking the reciprocal of x2x^2.\newlineCalculation: x−2=1x2x^{-2} = \frac{1}{x^2}

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