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ACT Exam  >  ACT Questions  >  5x3 × 2xy × 3xy2 is equivalent to... Start Learning for Free
5x3 × 2xy × 3xy2 is equivalent to:
  • a)
    10x3 y2
  • b)
    10x5 y3
  • c)
    30x3 y3
  • d)
    30x5 y3
  • e)
    30x5 y2
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
5x3 × 2xy × 3xy2 is equivalent to:a)10x3 y2b)10x5 y3c)30x3...
The correct answer is d. To find the equivalent expression, multiply the constants (5 × 2 × 3), combine the x terms (x3)(x)(x) = x3+1+1 = x5 (because when you have a common base you keep the base and add the exponents), and combine the y terms (y1)(y2) = y1+2, or y3. The result is 30x5y3.
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Directions: Read the passages and choose the best answer to each question.PassageCertain species of flowers attract more bees than others with the scent of their pollen. The pollen is found on a structure within the flower called the anther, which is located on top of another structure called the stamen. Flowers typically have multiple anthers and stamens.Bees carry the pollen from the flowers on their legs. The bees move from flower to flower while collecting pollen.Some of the pollen falls from their legs as they land on another flower. This depositing of pollen causes crosspollination to occur (fertilization of the other flowers). Three studies were conducted to study this process.Study 1For two flower species (A and B), pollen quantity per anther in milligrams (mg), anther quantity per flower in number, and percentage of stamens covered with pollen were recorded (see Table 1).Study 2Three study sites were established to determine the pollen collection rate of one species of bee for the flowers used in Study 1. In Site 1, Species A flowers were absent. In Site 2, Species B flowers were absent. In Site 3, both Species A and B flowers were absent.Two pollen containers were placed at each site: one containing 50 mg Species A pollen and one containing 50 mg Species B pollen. The containers were left in place for 36 hours and the amount of pollen that was taken from the containers was measured. The results are recorded in Table 2.Study 3The researchers hand-pollinated flowers from a third species, Species C. They also observed the Species C plants being cross-pollinated by the bees in the area. All flowers were observed for 2 years. The scientists recorded the results in Table 3.Q.According to the results of the studies, Species A and Species B are most similar in that their

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5x3 × 2xy × 3xy2 is equivalent to:a)10x3 y2b)10x5 y3c)30x3 y3d)30x5 y3e)30x5 y2Correct answer is option 'D'. Can you explain this answer?
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