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Use the product of powers property to simplify the expression –2x3y4x2y3. –2(xy)12 –2(xy)72 –2x6y12

Question

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## Answers ( )

Question:Use the product of powers property to simplify the expression –2x3y4x2y3.

Answer:D. –2x^5y^7

Option d: [tex]-2x^{5} y^{7}[/tex] is the correct answer.Explanation:The

expressionis [tex]-2x^{3} y^{4} x^{2} y^{3}[/tex]We need to simplify the expression, using the product of powers.

The product of powers states that “

when multiplying two powers with the same base the exponent values can be added up“.Thus, grouping the same base and adding the exponent values from the expression [tex]-2x^{3} y^{4} x^{2} y^{3}[/tex], we have,

[tex]-2x^{3+2} y^{4+3}[/tex]

Adding the exponent, we get,

[tex]-2x^{5} y^{7}[/tex]

Thus, the

simplified expressionis [tex]-2x^{5} y^{7}[/tex]Hence,

Option d is the correct answer.