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Fully simplify using only positive exponents. (9x^(5)y^(3))/(9x^(2)y) Answer:

Fully simplify using only positive exponents.\newline9x5y39x2y \frac{9 x^{5} y^{3}}{9 x^{2} y} \newlineAnswer:

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Full solution

Q. Fully simplify using only positive exponents.\newline9x5y39x2y \frac{9 x^{5} y^{3}}{9 x^{2} y} \newlineAnswer:
  1. Simplify coefficients: Simplify the coefficients.\newlineDivide the coefficients 99 by 99.\newline99=1\frac{9}{9} = 1
  2. Apply quotient rule to xx: Apply the quotient rule for exponents to xx. The quotient rule states that am/an=a(m−n)a^{m}/a^{n} = a^{(m-n)} when m>nm > n. x5/x2=x(5−2)=x3x^{5}/x^{2} = x^{(5-2)} = x^{3}
  3. Apply quotient rule to yy: Apply the quotient rule for exponents to yy. Similarly, apply the quotient rule to y3y\frac{y^{3}}{y}. y3y1=y3−1=y2\frac{y^{3}}{y^{1}} = y^{3-1} = y^{2}
  4. Combine results: Combine the results from Step 11, Step 22, and Step 33. Since the coefficient simplifies to 11, it does not need to be written. The simplified expression is x3y2x^{3}y^{2}.

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