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Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

15((1)/(3)w-(2)/(5))

Use the distributive property to remove the parentheses. Simplify your answer as much as possible. $\newline$ $15\left(\frac{1}{3} w-\frac{2}{5}\right)$

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Multiplication with rational exponents

Full solution

Q. Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

\newline

15\left(\frac{1}{3} w-\frac{2}{5}\right)

Apply Distributive Property: Apply the distributive property to remove the parentheses. $\newline$ The distributive property states that $a(b + c) = ab + ac$ . In this case, we will distribute $15$ to both terms inside the parentheses.
Distribute to First Term: Distribute $15$ to the first term inside the parentheses. $\newline$ $15 \times (\frac{1}{3})w = (\frac{15}{3})w = 5w$ $\newline$ Check for math errors by verifying the multiplication and division.
Distribute to Second Term: Distribute $15$ to the second term inside the parentheses. $\newline$ $15 \times \left(-\frac{2}{5}\right) = \left(15 \times -2\right) / 5 = -30 / 5 = -6$ $\newline$ Check for math errors by verifying the multiplication and division.
Combine Results: Combine the results from Step $2$ and Step $3$ . $5w - 6$ Check for math errors by ensuring that the terms are combined correctly.

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