Exam 4: The Laws of Exponents and Logarithms: Measuring the Universe

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Solve for x: Solve for x:    Round the answer to 4 decimal places. Round the answer to 4 decimal places.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible. Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

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The speed of light is approximately The speed of light is approximately   miles/sec. Convert the speed of light into meters/year.  (1000 meters=.62 miles, for the year to second conversion, think it out, you already know what you need.) Write your answer in scientific notation and round your answer to 2 decimal places. miles/sec. Convert the speed of light into meters/year. (1000 meters=.62 miles, for the year to second conversion, think it out, you already know what you need.) Write your answer in scientific notation and round your answer to 2 decimal places.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Evaluate the expression. Evaluate the expression.

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Simplify the expression. Simplify the expression.

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Using the graph, how many orders of magnitude larger is the radius of Earth than the average radius of an atom? Using the graph, how many orders of magnitude larger is the radius of Earth than the average radius of an atom?

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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The tallest known tree is the Howard Libbey redwood in Redwood Grove, California. The height of the tree is 100,000 millimeters. The distance from the Earth to the sun is approximately The tallest known tree is the Howard Libbey redwood in Redwood Grove, California. The height of the tree is 100,000 millimeters. The distance from the Earth to the sun is approximately   millimeters. How many Howard Libbey redwoods would it take to stretch from the Earth to the sun? Write your answer in scientific notation. millimeters. How many Howard Libbey redwoods would it take to stretch from the Earth to the sun? Write your answer in scientific notation.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Use scientific notation to perform each computation. Write your answers in scientific notation. Use scientific notation to perform each computation. Write your answers in scientific notation.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Solve. Solve.    Round your answer to 3 decimal places. Round your answer to 3 decimal places.

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Simplify the expression. Express your answer using only positive exponents. Simplify the expression. Express your answer using only positive exponents.

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Which of the following statements is equivalent to Which of the following statements is equivalent to   ? ?

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