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ACT Exam  >  ACT Questions  >  4a3 x 5a8 =?a)9a5b)9a11c)9a24d)20a11e)20a24Co... Start Learning for Free
4a3 x 5a8 =?
  • a)
    9a5
  • b)
    9a11
  • c)
    9a24
  • d)
    20a11
  • e)
    20a24
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
4a3 x 5a8 =?a)9a5b)9a11c)9a24d)20a11e)20a24Correct answer is option 'D...
To solve this problem, recall that when two numbers that consist of the same base and different exponents are multiplied together, you keep the base and add the exponents. Because multiplication is commutative, the expression 4a3 x 5a8 can be written as 4 x 5 x a8 x a3, or 20a8+3, which equals 20a11. You can eliminate answer choice A, B, and C because they add the coefficients instead of multiplying them.
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Directions: Read the passages and choose the best answer to each question.PassageThe photoelectric effect is the emission of electrons from matter upon the absorption of electromagnetic radiation, such as ultraviolet radiation or X-rays. Electromagnetic radiation is made up of photons, which can be considered finite packets of energy at various levels. Photons have properties attributed to both particles and waves. This phenomenon is known as the wave-particle duality.The photoelectric effect is especially noticeable when dealing with metals. When a metallic surface is exposed to electromagnetic radiation that is above the minimum energy threshold (which is specific to the type of surface and material), photons are absorbed and electrons are emitted. No electrons are emitted for radiation with energy frequencies below that of the threshold, as the electrons are unable to gain sufficient energy to overcome the attractive forces within the metal. A scientist wishing to measure the photoelectric effect so as to further understand the nature of photons conducted the following experiments.Experiment 1Wishing to measure the energy required to produce the photoelectric effect on a surface of a sheet of copper, the scientist directed a beam of radiation at different frequencies (energies)—measured in Hertz (Hz)—onto the surface.After 5 minutes, the charge—measured in volts (V)—of the sheet of metal was recorded. This was done because if electrons were emitted from the surface, the metal would take on a positive charge. The results were recorded in Table 1.Experiment 2Solar cells used to generate electricity are based on the concept of the photoelectric effect; however, the goal of the cell is to capture the emitted electron and create an electric current. The scientist measured the effects of different frequencies (in Hz) of radiation on the current (in V) generated by a certain solar cell. The results were recorded in Table 2.Q.A scientist predicts that in years to come the earth’s atmosphere will become much less effective at shielding the surface from radiation of higher frequencies. If this prediction is correct, which of the following is most likely to happen based on results of the experiments?

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4a3 x 5a8 =?a)9a5b)9a11c)9a24d)20a11e)20a24Correct answer is option 'D'. Can you explain this answer?
Question Description
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