Fully simplify using only positive exponents. (2x^(7)y^(5))/(10x^(7)y) Answer:

Simplify Coefficients and Cancel: Simplify the coefficients and cancel out common x terms. We have the expression (2x^(7)y^(5))/(10x^(7)y). First, we simplify the coefficients (2/10) and then cancel out the common x^(7) terms since they are the same in the numerator and the denominator. Calculation: (2/10) simplifies to (1/5) and x^(7)/x^(7) simplifies to 1. Math error check: Simplify Y Terms: Simplify the y terms. Now we have (1/5)y^(5)/y. We can simplify y^(5)/y by subtracting the exponents since we are dividing like bases. Calculation: y^(5)/y = y^(5-1) = y^(4). Math error check: Combine Coefficients and Y Terms: Combine the simplified coefficients and y terms. We combine the results from Step 1 and Step 2 to get the final simplified expression. Calculation: (1/5)y^(4). Math error check:

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Algebra 2

Simplify variable expressions using properties

Full solution

Q. Fully simplify using only positive exponents.

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\frac{2 x^{7} y^{5}}{10 x^{7} y}

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Answer:

Simplify Coefficients and Cancel: Simplify the coefficients and cancel out common $x$ terms. $\newline$ We have the expression $(2x^{7}y^{5})/(10x^{7}y)$ . First, we simplify the coefficients $(2/10)$ and then cancel out the common $x^{7}$ terms since they are the same in the numerator and the denominator. $\newline$ Calculation: $(2/10)$ simplifies to $(1/5)$ and $x^{7}/x^{7}$ simplifies to $1$ . $\newline$ Math error check:
Simplify Y Terms: Simplify the y terms. $\newline$ Now we have $(\frac{1}{5})y^{5}/y$ . We can simplify $y^{5}/y$ by subtracting the exponents since we are dividing like bases. $\newline$ Calculation: $y^{5}/y = y^{(5-1)} = y^{4}$ . $\newline$ Math error check:
Combine Coefficients and Y Terms: Combine the simplified coefficients and y terms. We combine the results from Step $1$ and Step $2$ to get the final simplified expression. Calculation: $(\frac{1}{5})y^{4}$ . Math error check: