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Conner and Jana are multiplying (3568)(39610). Conner's Work Jana's Work (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680

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The Mathematics question asks about exponent rules and multiplying numbers in scientific notation. Students learn to add exponents for powers with the same base and to combine prefactors before applying scientific notation.

The subject of the question is Mathematics, specifically focusing on the properties of exponents and multiplication of numbers in scientific notation. Understanding these concepts is essential for solving various problems in mathematics, including those related to calculations in scientific and engineering contexts.

One example provided is about multiplying powers with the same base, where the rule is to add the exponents. As in 3² · 3⁵, we add the exponents to get 3²+⁵, which equals 3⁷. Another example shows how to multiply numbers written in scientific notation, such as (1.36 × 10²) + (47.3 × 10²), and we first add the prefactors and then multiply by the common base of ten raised to the power, resulting in 48.66 × 10².

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