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Write the monomial in standard form:

2x³ • 0.5xy²
a. -x³y²
b. -x³y
c. -x²y²
d. -x²y

1 Answer

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Final answer:

The monomial 2x³ • 0.5xy² in standard form is x⁴y², which is not one of the provided answer choices.

Step-by-step explanation:

To write the monomial 2x³ • 0.5xy² in standard form, you need to multiply the coefficients (2 and 0.5) and add the exponents of like variables. Multiplying the coefficients 2 and 0.5 gives us 1 (since 2 × 0.5 = 1). When we multiply variables with the same base, we add their exponents, so for x we have x³ and x, which results in x to the power of 3+1 or x⁴. For y we have y², so we get y². Therefore, the monomial in standard form is x⁴y². None of the answer choices provided (-x³y², -x³y, -x²y², -x²y) correspond to the correct standard form of the monomial.

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