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Simplify. Rewrite the expression in the form x^(n). (x^(6))/(x^(8))=

Simplify.\newlineRewrite the expression in the form \newlinexnx^{n}.\newlinex6x8=\frac{x^{6}}{x^{8}}=

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Full solution

Q. Simplify.\newlineRewrite the expression in the form \newlinexnx^{n}.\newlinex6x8=\frac{x^{6}}{x^{8}}=
  1. Apply Quotient Rule: Apply the quotient rule for exponents which states that xa/xb=x(a−b)x^{a}/x^{b} = x^{(a-b)}.\newlineCalculation: (x6)/(x8)=x(6−8)(x^{6})/(x^{8}) = x^{(6-8)}
  2. Subtract Exponents: Subtract the exponents.\newlineCalculation: x(6−8)=x−2x^{(6-8)} = x^{-2}
  3. Final Simplification: The expression is now simplified and in the form xnx^{n}, where nn is the exponent.

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