Exponents are routinely encountered in scientific work, where they help investigators deal with large numbers:
(a) The human population of Earth is roughly 6000000000, which is usually expressed in scientific notation as 6 x 10^9. The average number of hairs on a human head is 5 x 10^5. Use scientific notation to estimate the number of human head hairs on Earth.
(b) Light moves very fast — approximately 3 x 10^8 meters every second. At that rate, how many meters does light travel in one year, which is about 3 x 10^7 seconds long? (This so-called light year is used in astronomy as a yardstick for measuring even greater distances).
6. Faced with the problem of calculating (5^4)^3, Brook is having trouble deciding which of these three answers is correct: 5^64, 5^12 , or 5^7. Once you have answered Brook’s question, experiment with other examples of this type until you can formulate the principle that applies when exponential expressions are raised to powers. What is the rule?
(a) The human population of Earth is roughly 6000000000, which is usually expressed in scientific notation as 6 x 10^9. The average number of hairs on a human head is 5 x 10^5. Use scientific notation to estimate the number of human head hairs on Earth.
(b) Light moves very fast — approximately 3 x 10^8 meters every second. At that rate, how many meters does light travel in one year, which is about 3 x 10^7 seconds long? (This so-called light year is used in astronomy as a yardstick for measuring even greater distances).
6. Faced with the problem of calculating (5^4)^3, Brook is having trouble deciding which of these three answers is correct: 5^64, 5^12 , or 5^7. Once you have answered Brook’s question, experiment with other examples of this type until you can formulate the principle that applies when exponential expressions are raised to powers. What is the rule?
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a) 50000
b) 3000000
6) 5^12
good luck(:
b) 3000000
6) 5^12
good luck(:
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What grade u in day look hard !!! I'm in 8 grade