Fully simplify using only positive exponents. (15x^(7)y)/(10x^(6)y^(6)) Answer:

Write Expression & Identify Like Terms: Write down the expression and identify like terms. (15x^(7)y)/(10x^(6)y^(6)) We have like terms in the numerator and the denominator that can be simplified.Simplify Coefficients: Simplify the coefficients (numbers) by dividing 15 by 10. 15/10 = 1.5 or 3/2 when simplified as a fraction.Simplify X Terms: Simplify the x terms by subtracting the exponents. x^(7)/x^(6) = x^(7-6) = x^(1) = xSimplify Y Terms: Simplify the y terms by subtracting the exponents. y/y^(6) = y^(1-6) = y^(-5) Since we need only positive exponents, we can write y^(-5) as 1/y^(5).Combine Simplified Terms: Combine the simplified terms. (3/2) * x * (1/y^(5))Write Final Expression: Write the final simplified expression. The expression is fully simplified using only positive exponents. (3x)/(2y^(5))

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Algebra 2

Simplify variable expressions using properties

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Q. Fully simplify using only positive exponents.

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\frac{15 x^{7} y}{10 x^{6} y^{6}}

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Answer:

Write Expression & Identify Like Terms: Write down the expression and identify like terms. $\newline$ $(\frac{15x^{7}y}{10x^{6}y^{6}})$ $\newline$ We have like terms in the numerator and the denominator that can be simplified.
Simplify Coefficients: Simplify the coefficients (numbers) by dividing $15$ by $10$ . $\newline$ $\frac{15}{10} = 1.5$ or $\frac{3}{2}$ when simplified as a fraction.
Simplify $X$ Terms: Simplify the $x$ terms by subtracting the exponents. $\frac{x^{7}}{x^{6}} = x^{(7-6)} = x^{1} = x$
Simplify Y Terms: Simplify the $y$ terms by subtracting the exponents. $\frac{y}{y^{6}} = y^{1-6} = y^{-5}$ Since we need only positive exponents, we can write $y^{-5}$ as $\frac{1}{y^{5}}$ .
Combine Simplified Terms: Combine the simplified terms. $(\frac{3}{2}) \times x \times (\frac{1}{y^{5}})$
Write Final Expression: Write the final simplified expression. $\newline$ The expression is fully simplified using only positive exponents. $\newline$ $\frac{3x}{2y^{5}}$