Fully simplify using only positive exponents. (30 xy^(8))/(10x^(7)y^(8)) Answer:

Simplify Coefficients: Simplify the coefficients. Divide the coefficients 30 by 10 to simplify the expression. 30 / 10 = 3Simplify x Terms: Simplify the x terms. Divide x by x^(7) to simplify the x terms. Since x is the same as x^(1), we use the property of exponents that states x^(a)/x^(b) = x^(a-b). x / x^(7) = x^(1-7) = x^(-6) However, we want only positive exponents, so we will keep this in mind for the final answer.Simplify y Terms: Simplify the y terms. Divide y^(8) by y^(8) to simplify the y terms. Using the property of exponents that states y^(a)/y^(b) = y^(a-b) when a = b, the y terms cancel out. y^(8) / y^(8) = y^(8-8) = y^(0) = 1Combine Terms: Combine the simplified terms. Combine the simplified coefficients and variables. Since we want only positive exponents, we will express x^(-6) as 1/x^(6). Final simplified expression: 3 * 1 * 1/x^(6) = 3/x^(6)

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Fully simplify using only positive exponents.

(30 xy^(8))/(10x^(7)y^(8))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{30 x y^{8}}{10 x^{7} y^{8}}$ $\newline$ Answer:

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Q. Fully simplify using only positive exponents.

\newline

\frac{30 x y^{8}}{10 x^{7} y^{8}}

\newline

Answer:

Simplify Coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $30$ by $10$ to simplify the expression. $\newline$ $\frac{30}{10} = 3$
Simplify $x$ Terms: Simplify the $x$ terms. $\newline$ Divide $x$ by $x^{7}$ to simplify the $x$ terms. Since $x$ is the same as $x^{1}$ , we use the property of exponents that states $x^{a}/x^{b} = x^{a-b}$ . $\newline$ $x / x^{7} = x^{1-7} = x^{-6}$ $\newline$ However, we want only positive exponents, so we will keep this in mind for the final answer.
Simplify $y$ Terms: Simplify the $y$ terms. $\newline$ Divide $y^{8}$ by $y^{8}$ to simplify the $y$ terms. Using the property of exponents that states $y^{a}/y^{b} = y^{a-b}$ when $a = b$ , the $y$ terms cancel out. $\newline$ $y^{8} / y^{8} = y^{8-8} = y^{0} = 1$
Combine Terms: Combine the simplified terms. $\newline$ Combine the simplified coefficients and variables. Since we want only positive exponents, we will express $x^{-6}$ as $\frac{1}{x^{6}}$ . $\newline$ Final simplified expression: $3 \times 1 \times \frac{1}{x^{6}} = \frac{3}{x^{6}}$