Fully simplify using only positive exponents. (8x^(6)y^(3))/(4x^(3)y^(7)) Answer:

Divide Coefficients and Variables: Divide the coefficients (numbers) and the like variables separately. Divide the coefficients: 8 ÷ 4 = 2. Divide the variables with exponents by subtracting the exponents of like bases: x^(6) ÷ x^(3) = x^(6-3) = x^(3) and y^(3) ÷ y^(7) = y^(3-7) = y^(-4).Write with Positive Exponents: Write the expression with only positive exponents. Since we cannot have negative exponents in the final answer, we rewrite y^(-4) as 1/y^(4). The expression becomes 2x^(3)/y^(4).

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Fully simplify using only positive exponents.

(8x^(6)y^(3))/(4x^(3)y^(7))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{8 x^{6} y^{3}}{4 x^{3} y^{7}}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{8 x^{6} y^{3}}{4 x^{3} y^{7}}

\newline

Answer:

Divide Coefficients and Variables: Divide the coefficients (numbers) and the like variables separately. $\newline$ Divide the coefficients: $8 \div 4 = 2$ . $\newline$ Divide the variables with exponents by subtracting the exponents of like bases: $x^{6} \div x^{3} = x^{6-3} = x^{3}$ and $y^{3} \div y^{7} = y^{3-7} = y^{-4}$ .
Write with Positive Exponents: Write the expression with only positive exponents. $\newline$ Since we cannot have negative exponents in the final answer, we rewrite $y^{-4}$ as $1/y^{4}$ . $\newline$ The expression becomes $2x^{3}/y^{4}$ .