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Fully simplify using only positive exponents.

(2x^(8)y^(6))/(4x^(5)y^(5))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{2 x^{8} y^{6}}{4 x^{5} y^{5}}$ $\newline$ Answer:

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Simplify radical expressions with root inside the root

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{2 x^{8} y^{6}}{4 x^{5} y^{5}}

\newline

Answer:

Simplify coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $2$ by $4$ . $\newline$ $\frac{2}{4} = \frac{1}{2}$
Apply quotient rule for $x$ : Apply the quotient rule for exponents to $x$ terms. $\newline$ The quotient rule states that $a^{m}/a^{n} = a^{(m-n)}$ when $m > n$ . $\newline$ $x^{8}/x^{5} = x^{(8-5)} = x^{3}$
Apply quotient rule for $y$ : Apply the quotient rule for exponents to $y$ terms. $\newline$ Similarly, apply the quotient rule to $y$ terms. $\newline$ $\frac{y^{6}}{y^{5}} = y^{6-5} = y^{1} = y$
Combine results: Combine the results from steps $1$ , $2$ , and $3$ . $(\frac{1}{2})x^{3}y$

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