Multiply. x^(2)(-7x^(2)+5x) Answer:

Apply Distributive Property: Apply the distributive property to multiply x^(2) by each term inside the parentheses. The distributive property states that a(b + c) = ab + ac. Here, we will multiply x^(2) by -7x^(2) and then x^(2) by 5x.Multiply -7x^(4): Multiply x^(2) by -7x^(2). When multiplying powers with the same base, we add the exponents. So, x^(2) * x^(2) = x^(2+2) = x^(4). Therefore, x^(2) * -7x^(2) = -7x^(4).Multiply 5x^(3): Multiply x^(2) by 5x. Again, when multiplying powers with the same base, we add the exponents. So, x^(2) * x^(1) = x^(2+1) = x^(3). Therefore, x^(2) * 5x = 5x^(3).Combine Results: Combine the results from Step 2 and Step 3. The expression becomes -7x^(4) + 5x^(3).

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Multiply. $\newline$ $x^{2}\left(-7 x^{2}+5 x\right)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Multiply.

\newline

x^{2}\left(-7 x^{2}+5 x\right)

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Answer:

Apply Distributive Property: Apply the distributive property to multiply $x^{2}$ by each term inside the parentheses. $\newline$ The distributive property states that $a(b + c) = ab + ac$ . Here, we will multiply $x^{2}$ by $-7x^{2}$ and then $x^{2}$ by $5x$ .
Multiply $-7x^{4}$ : Multiply $x^{2}$ by $-7x^{2}$ . $\newline$ When multiplying powers with the same base, we add the exponents. So, $x^{2} \times x^{2} = x^{2+2} = x^{4}$ . Therefore, $x^{2} \times -7x^{2} = -7x^{4}$ .
Multiply $5x^{3}$ : Multiply $x^{2}$ by $5x$ . Again, when multiplying powers with the same base, we add the exponents. So, $x^{2} \times x^{1} = x^{2+1} = x^{3}$ . Therefore, $x^{2} \times 5x = 5x^{3}$ .
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ The expression becomes $-7x^{4} + 5x^{3}$ .