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If (–3)m+1 × (–3)5 = (–3)7, then the value of m is:
  • a)
    5
  • b)
    7
  • c)
    1
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If (–3)m+1× (–3)5= (–3)7, then the value of m ...
(–3)m+1 × (–3)5 = (–3)7
(-3)m+1+5 = (-3)7
(-3)m+6 = (-3)7
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Most Upvoted Answer
If (–3)m+1× (–3)5= (–3)7, then the value of m ...
(–3)m+1 × (–3)5 = (–3)7
(-3)m+1+5 = (-3)7
(-3)m+6 = (-3)7
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Adapted from “The Nose Tree” in German Fairy Tales and Popular Stories by Jacob Grimm and Wilhelm Grimm (trans. Taylor, ed. 1864)Then the king made known to all his kingdom, that whomever would heal her of this dreadful disease should be richly rewarded. Many tried, but the princess got no relief. Now the old soldier dressed himself up very sprucely as a doctor, and said he could cure her. Therefore, he chopped up some of the apple, and, to punish her a little more, gave her a dose, saying he would call to-morrow and see her again. The morrow came, and, of course, instead of being better, the nose had been growing on all night as before; and the poor princess was in a dreadful fright. So the doctor then chopped up a very little of the pear and gave it to her. He said that he was sure that it would help, and he would call again the next day. Next day came, and the nose was to be sure a little smaller. However, it was bigger than when the doctor first began to meddle with it.Then he thought to him, "I must frighten this cunning princess a little more before I am able to get what I want from her." Therefore, he gave her another dose of the apple and said he would call on the morrow. The morrow came, and the nose was ten times bad as before."My good lady," said the doctor, "Something works against my medicine and is to strong for it. However, I know by the force of my art that it is this, you have stolen goods about you. I am certain of it. If you do not give them back, I can do nothing for you."The princess denied very stoutly that she had anything of the kind."Very well," said the doctor, "you may do as you please, but I am sure I am correct. You will die if you do not own it." Then he went to the king, and told him how the matter stood."Daughter," said he, "send back the cloak, the purse, and the horn, that you stole from the right owners."Then she ordered her maid to fetch all three and gave them to the doctor, and begged him to give them back to the soldiers. The moment he had them safe, he gave her a whole pear to eat, and the nose came right. And as for the doctor, he put on the cloak, wished the king and all his court a good day and was soon with his two brothers. They lived from that time happily at home in their palace, except when they took an airing to see the world in their coach with their three dapple-grey horses.What is the proper form of the underlined selection, "known to all his kingdom, that"?

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If (–3)m+1× (–3)5= (–3)7, then the value of m is:a)5b)7c)1d)3Correct answer is option 'C'. Can you explain this answer?
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