Fully simplify using only positive exponents. (45x^(2)y^(8))/(18x^(2)y^(8)) Answer:

Simplify Coefficients: First, we will simplify the coefficients (numerical parts) of the fraction by dividing 45 by 18. 45 ÷ 18 = 2.5Divisibility by 9: However, we realize that 45 and 18 are both divisible by 9, which is a more appropriate simplification for integers. 45 ÷ 9 = 5 18 ÷ 9 = 2 So, the simplified coefficient part is 5/2.Simplify Variable Parts: Next, we will simplify the variable parts. Since the exponents of x and y are the same in the numerator and the denominator, we can divide them out. x^(2)/x^(2) = x^(2-2) = x^0 = 1 (since any number to the power of 0 is 1) y^(8)/y^(8) = y^(8-8) = y^0 = 1Combine Coefficients and Variables: Now, we combine the simplified coefficient and variable parts. (5/2) * (1 * 1) = 5/2

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Fully simplify using only positive exponents.

(45x^(2)y^(8))/(18x^(2)y^(8))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{45 x^{2} y^{8}}{18 x^{2} y^{8}}$ $\newline$ Answer:

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Algebra 2

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Q. Fully simplify using only positive exponents.

\newline

\frac{45 x^{2} y^{8}}{18 x^{2} y^{8}}

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Answer:

Simplify Coefficients: First, we will simplify the coefficients (numerical parts) of the fraction by dividing $45$ by $18$ . $\newline$ $45 \div 18 = 2.5$
Divisibility by $9$ : However, we realize that $45$ and $18$ are both divisible by $9$ , which is a more appropriate simplification for integers. $\newline$ $45 \div 9 = 5$ $\newline$ $18 \div 9 = 2$ $\newline$ So, the simplified coefficient part is $\frac{5}{2}$ .
Simplify Variable Parts: Next, we will simplify the variable parts. Since the exponents of $x$ and $y$ are the same in the numerator and the denominator, we can divide them out. $\newline$ $x^{2}/x^{2} = x^{2-2} = x^0 = 1$ (since any number to the power of $0$ is $1$ ) $\newline$ $y^{8}/y^{8} = y^{8-8} = y^0 = 1$
Combine Coefficients and Variables: Now, we combine the simplified coefficient and variable parts. $(\frac{5}{2}) \times (1 \times 1) = \frac{5}{2}$