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Fully simplify using only positive exponents. (8x^(8)y^(8))/(8x^(6)y^(5)) Answer:

Fully simplify using only positive exponents.\newline8x8y88x6y5 \frac{8 x^{8} y^{8}}{8 x^{6} y^{5}} \newlineAnswer:

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Full solution

Q. Fully simplify using only positive exponents.\newline8x8y88x6y5 \frac{8 x^{8} y^{8}}{8 x^{6} y^{5}} \newlineAnswer:
  1. Simplify coefficients: Simplify the coefficients.\newlineWe have the same coefficient 88 in the numerator and the denominator, so they cancel each other out.\newline(8x8y8)/(8x6y5)=x8y8/(x6y5)(8x^{8}y^{8})/(8x^{6}y^{5}) = x^{8}y^{8}/(x^{6}y^{5})
  2. Apply quotient rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that am/an=am−na^{m}/a^{n} = a^{m-n} when m>nm > n.\newlinex8y8/(x6y5)=x8−6y8−5x^{8}y^{8}/(x^{6}y^{5}) = x^{8-6}y^{8-5}
  3. Perform subtraction: Perform the subtraction for the exponents. x(8−6)y(8−5)=x2y3x^{(8-6)}y^{(8-5)} = x^{2}y^{3}
  4. Write final expression: Write the final simplified expression.\newlineThe expression is now fully simplified with positive exponents.\newlinex2y3x^{2}y^{3}

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