Fully simplify using only positive exponents. (30x^(6)y^(7))/(50x^(6)y^(6)) Answer:

Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. We have the coefficients 30 and 50. We can simplify this by dividing both by their greatest common divisor, which is 10. 30 ÷ 10 = 3 50 ÷ 10 = 5 So, (30x^(6)y^(7))/(50x^(6)y^(6)) becomes (3x^(6)y^(7))/(5x^(6)y^(6)).Simplify x Terms: Simplify the x terms. Since the x terms have the same exponent (x^(6)) on both the numerator and the denominator, they will cancel each other out. (3x^(6)y^(7))/(5x^(6)y^(6)) becomes (3y^(7))/(5y^(6)).Simplify y Terms: Simplify the y terms. We can simplify y^(7)/y^(6) by subtracting the exponents since they have the same base. y^(7)/y^(6) = y^(7-6) = y^(1) = y So, (3y^(7))/(5y^(6)) becomes 3y/5.Write Final Expression: Write the final simplified expression. The expression is now fully simplified with only positive exponents. The final simplified form is 3y/5.

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Fully simplify using only positive exponents.

(30x^(6)y^(7))/(50x^(6)y^(6))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{30 x^{6} y^{7}}{50 x^{6} y^{6}}$ $\newline$ Answer:

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Algebra 1

Evaluate integers raised to rational exponents

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{30 x^{6} y^{7}}{50 x^{6} y^{6}}

\newline

Answer:

Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. $\newline$ We have the coefficients $30$ and $50$ . We can simplify this by dividing both by their greatest common divisor, which is $10$ . $\newline$ $30 \div 10 = 3$ $\newline$ $50 \div 10 = 5$ $\newline$ So, $\frac{30x^{6}y^{7}}{50x^{6}y^{6}}$ becomes $\frac{3x^{6}y^{7}}{5x^{6}y^{6}}$ .
Simplify $x$ Terms: Simplify the $x$ terms. $\newline$ Since the $x$ terms have the same exponent ( $x^{6}$ ) on both the numerator and the denominator, they will cancel each other out. $\newline$ $(3x^{6}y^{7})/(5x^{6}y^{6})$ becomes $(3y^{7})/(5y^{6})$ .
Simplify $y$ Terms: Simplify the $y$ terms. $\newline$ We can simplify $\frac{y^{7}}{y^{6}}$ by subtracting the exponents since they have the same base. $\newline$ $\frac{y^{7}}{y^{6}} = y^{7-6} = y^{1} = y$ $\newline$ So, $\frac{3y^{7}}{5y^{6}}$ becomes $\frac{3y}{5}$ .
Write Final Expression: Write the final simplified expression. $\newline$ The expression is now fully simplified with only positive exponents. $\newline$ The final simplified form is $\frac{3y}{5}.$