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

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

Question

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

–2(xy)12

–2(xy)72

–2x6y12

–2x5y7

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Math Allison 4 months 2022-01-12T08:54:52+00:00 2022-01-12T08:54:52+00:00 2 Answers 0 views 0

Allison · Answer 1 · 2022-01-12T08:56:11+00:00

Allison

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2022-01-12T08:56:11+00:00 January 12, 2022 at 8:56 am

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Question:

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

Answer:

D. –2x^5y^7

Allison · Answer 2 · 2022-01-12T08:56:24+00:00

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

Explanation:

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

Hence, Option d is the correct answer.