Fully simplify using only positive exponents. (40x^(7)y^(4))/(16 xy^(3)) Answer:

Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. We have 40 divided by 16, which simplifies to 2.5 or 5/2. Calculation: 40 / 16 = 2.5 or 5/2Simplify x Terms: Simplify the x terms. We have x^(7) divided by x, which simplifies to x^(7-1) = x^(6). Calculation: x^(7) / x = x^(7-1) = x^(6)Simplify y Terms: Simplify the y terms. We have y^(4) divided by y^(3), which simplifies to y^(4-3) = y^(1) = y. Calculation: y^(4) / y^(3) = y^(4-3) = yCombine Coefficients and Variables: Combine the simplified coefficients and variables. Combine the results from steps 1, 2, and 3 to get the final simplified expression. Calculation: (5/2) * x^(6) * y

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Fully simplify using only positive exponents.

(40x^(7)y^(4))/(16 xy^(3))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{40 x^{7} y^{4}}{16 x y^{3}}$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Fully simplify using only positive exponents.

\newline

\frac{40 x^{7} y^{4}}{16 x y^{3}}

\newline

Answer:

Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. $\newline$ We have $40$ divided by $16$ , which simplifies to $2.5$ or $\frac{5}{2}$ . $\newline$ Calculation: $\frac{40}{16} = 2.5$ or $\frac{5}{2}$
Simplify $x$ Terms: Simplify the $x$ terms. $\newline$ We have $x^{7}$ divided by $x$ , which simplifies to $x^{(7-1)} = x^{6}$ . $\newline$ Calculation: $x^{7} / x = x^{(7-1)} = x^{6}$
Simplify $y$ Terms: Simplify the $y$ terms. $\newline$ We have $y^{4}$ divided by $y^{3}$ , which simplifies to $y^{4-3} = y^{1} = y$ . $\newline$ Calculation: $y^{4} / y^{3} = y^{4-3} = y$
Combine Coefficients and Variables: Combine the simplified coefficients and variables. Combine the results from steps $1$ , $2$ , and $3$ to get the final simplified expression. Calculation: $(\frac{5}{2}) \times x^{6} \times y$