Andrew and Elena knew that after 28 days they would have 2^28 coins, but they wanted to find out how many coins that actually is Andrew wrote: 2^28=228=56. Elena said, " No, exponents mean repeated multiplication. It should be 2828, which works out to be 784." Do you agree with either of them? Explain your reasoning.

Question

Mathematics

Taniya Owens

20 May, 06:18

Andrew and Elena knew that after 28 days they would have 2^28 coins, but they wanted to find out how many coins that actually is Andrew wrote: 2^28=228=56. Elena said, " No, exponents mean repeated multiplication. It should be 2828, which works out to be 784." Do you agree with either of them? Explain your reasoning.

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Answers (1)

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Karsyn Little · Answer 1

Both Andrew and Elena are wrong. The actual value of 2^28 equals 268,435,456.

Step-by-step explanation:

Elena was right when she said exponents mean repeated multiplication but she accidentally calculated the value of 28^2 instead of 2^28. 2^28 means that the number 2 should be multiplied with itself for 28 times.

2^2 means 2 multiplied by 2 equals 4. 2^3 means 2 multiplied by 2 and then multiplied by 2 again which equals 8. Similarly, if you multiply 2 with itself 28 times you will get a value of 268,435,456 (two hundred and sixty-eight million, four hundred and thirty-five thousand, four hundred and fifty-six). So Andrew and Elena will have 268,435,456 coins after 28 days.