Fully simplify using only positive exponents. (4x^(4)y^(7))/(2x^(4)y^(6)) Answer:

Simplify coefficients: Simplify the coefficients. Divide the coefficients 4 by 2. 4 / 2 = 2Simplify x terms: Simplify the x terms. Since the x terms have the same exponent, x^(4)/x^(4), they cancel each other out. x^(4) / x^(4) = 1Simplify y terms: Simplify the y terms. Subtract the exponents of y because when dividing powers with the same base, you subtract the exponents. y^(7) / y^(6) = y^(7-6) = y^(1) = yCombine terms: Combine the simplified terms. Multiply the simplified coefficient by the simplified variable terms. 2 * 1 * y = 2y

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Fully simplify using only positive exponents.

(4x^(4)y^(7))/(2x^(4)y^(6))
Answer:

Fully simplify using only positive exponents. $\newline$ $\frac{4 x^{4} y^{7}}{2 x^{4} y^{6}}$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Fully simplify using only positive exponents.

\newline

\frac{4 x^{4} y^{7}}{2 x^{4} y^{6}}

\newline

Answer:

Simplify coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $4$ by $2$ . $\newline$ $\frac{4}{2} = 2$
Simplify $x$ terms: Simplify the $x$ terms. $\newline$ Since the $x$ terms have the same exponent, $\frac{x^{4}}{x^{4}}$ , they cancel each other out. $\newline$ $\frac{x^{4}}{x^{4}} = 1$
Simplify $y$ terms: Simplify the $y$ terms. $\newline$ Subtract the exponents of $y$ because when dividing powers with the same base, you subtract the exponents. $\newline$ $y^{7} / y^{6} = y^{7-6} = y^{1} = y$
Combine terms: Combine the simplified terms. $\newline$ Multiply the simplified coefficient by the simplified variable terms. $\newline$ $2 \times 1 \times y = 2y$