Fully simplify using only positive exponents. (24x^(4)y^(6))/(8xy) Answer:

Simplify Coefficients: Simplify the coefficients and cancel out common factors. We have the fraction (24x^(4)y^(6))/(8xy). We can simplify the numerical part by dividing 24 by 8. 24 ÷ 8 = 3 So, the expression becomes (3x^(4)y^(6))/(xy).Apply Quotient Rule for x: Apply the quotient rule for exponents to the variable x. The quotient rule states that when we divide like bases, we subtract the exponents. x^(4) ÷ x = x^(4-1) = x^(3). So, the expression now is (3x^(3)y^(6))/(y).Apply Quotient Rule for y: Apply the quotient rule for exponents to the variable y. Similarly, y^(6) ÷ y = y^(6-1) = y^(5). So, the fully simplified expression is 3x^(3)y^(5).

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Fully simplify using only positive exponents.

(24x^(4)y^(6))/(8xy)
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{24 x^{4} y^{6}}{8 x y}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Fully simplify using only positive exponents.

\newline

\frac{24 x^{4} y^{6}}{8 x y}

\newline

Answer:

Simplify Coefficients: Simplify the coefficients and cancel out common factors. $\newline$ We have the fraction $(24x^{4}y^{6})/(8xy)$ . We can simplify the numerical part by dividing $24$ by $8$ . $\newline$ $24 \div 8 = 3$ $\newline$ So, the expression becomes $(3x^{4}y^{6})/(xy)$ .
Apply Quotient Rule for $x$ : Apply the quotient rule for exponents to the variable $x$ . The quotient rule states that when we divide like bases, we subtract the exponents. $x^{4} \div x = x^{4-1} = x^{3}$ . So, the expression now is $(3x^{3}y^{6})/(y)$ .
Apply Quotient Rule for $y$ : Apply the quotient rule for exponents to the variable $y$ . Similarly, $y^{6} \div y = y^{6-1} = y^{5}$ . So, the fully simplified expression is $3x^{3}y^{5}$ .