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

Simplify coefficients: Simplify the coefficients. Divide the coefficients 9 by 9. 9/9 = 1Apply quotient rule to x: Apply the quotient rule for exponents to x. The quotient rule states that a^(m)/a^(n) = a^(m-n) when m > n. x^(5)/x^(2) = x^(5-2) = x^(3)Apply quotient rule to y: Apply the quotient rule for exponents to y. Similarly, apply the quotient rule to y^(3)/y. y^(3)/y^(1) = y^(3-1) = y^(2)Combine results: Combine the results from Step 1, Step 2, and Step 3. Since the coefficient simplifies to 1, it does not need to be written. The simplified expression is x^(3)y^(2).

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Fully simplify using only positive exponents.

(9x^(5)y^(3))/(9x^(2)y)
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{9 x^{5} y^{3}}{9 x^{2} y}$ $\newline$ Answer:

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Algebra 2

Simplify radical expressions with root inside the root

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{9 x^{5} y^{3}}{9 x^{2} y}

\newline

Answer:

Simplify coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $9$ by $9$ . $\newline$ $\frac{9}{9} = 1$
Apply quotient rule to $x$ : Apply the quotient rule for exponents to $x$ . The quotient rule states that $a^{m}/a^{n} = a^{(m-n)}$ when m > n. $x^{5}/x^{2} = x^{(5-2)} = x^{3}$
Apply quotient rule to $y$ : Apply the quotient rule for exponents to $y$ . Similarly, apply the quotient rule to $\frac{y^{3}}{y}$ . $\frac{y^{3}}{y^{1}} = y^{3-1} = y^{2}$
Combine results: Combine the results from Step $1$ , Step $2$ , and Step $3$ . Since the coefficient simplifies to $1$ , it does not need to be written. The simplified expression is $x^{3}y^{2}$ .