Fully simplify using only positive exponents. (30x^(3)y^(7))/(12x^(4)y^(4)) Answer:

Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. Divide 30 by 12 to simplify the coefficient. 30 ÷ 12 = 2.5 or 5/2Simplify x Terms: Simplify the x terms using the laws of exponents. Subtract the exponent in the denominator from the exponent in the numerator for x. x^(3 - 4) = x^(-1) Since we want only positive exponents, we can write x^(-1) as 1/x.Simplify y Terms: Simplify the y terms using the laws of exponents. Subtract the exponent in the denominator from the exponent in the numerator for y. y^(7 - 4) = y^(3)Combine Coefficients and Variables: Combine the simplified coefficients and variables. (5/2) * (1/x) * y^(3)Final Simplified Expression: Write the final simplified expression with only positive exponents. (5y^(3))/(2x)

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Fully simplify using only positive exponents.

(30x^(3)y^(7))/(12x^(4)y^(4))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{30 x^{3} y^{7}}{12 x^{4} y^{4}}$ $\newline$ Answer:

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Algebra 2

Find trigonometric ratios using reference angles

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{30 x^{3} y^{7}}{12 x^{4} y^{4}}

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Answer:

Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. $\newline$ Divide $30$ by $12$ to simplify the coefficient. $\newline$ $30 \div 12 = 2.5$ or $\frac{5}{2}$
Simplify $x$ Terms: Simplify the $x$ terms using the laws of exponents. $\newline$ Subtract the exponent in the denominator from the exponent in the numerator for $x$ . $\newline$ $x^{(3 - 4)} = x^{-1}$ $\newline$ Since we want only positive exponents, we can write $x^{-1}$ as $\frac{1}{x}$ .
Simplify $y$ Terms: Simplify the $y$ terms using the laws of exponents. $\newline$ Subtract the exponent in the denominator from the exponent in the numerator for $y$ . $\newline$ $y^{(7 - 4)} = y^{3}$
Combine Coefficients and Variables: Combine the simplified coefficients and variables. $(\frac{5}{2}) \cdot (\frac{1}{x}) \cdot y^{3}$
Final Simplified Expression: Write the final simplified expression with only positive exponents. $\frac{5y^{3}}{2x}$