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

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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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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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Rewrite the expression using fractional exponents. Do not simplify. Rewrite the expression using fractional exponents. Do not simplify.

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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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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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Use scientific notation to perform each computation. Write your answers in scientific notation. (0.0067) (0.0016)

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Simplify the expression. Simplify the expression.

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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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Assume all variables represent positive quantities and simplify. Assume all variables represent positive quantities and simplify.

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(True/False)
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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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Solve. Solve.    Round your answer to 3 decimal places. Round your answer to 3 decimal places.

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Convert to decimal notation. 1.71 · 10-5

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Solve for x: log (2x) = 6.9 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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The time it takes for one complete swing of a pendulum is called the period of its motion. The period T (in seconds) of a swinging pendulum is found using the formula The time it takes for one complete swing of a pendulum is called the period of its motion. The period T (in seconds) of a swinging pendulum is found using the formula   m where L is the length of the pendulum in feet and 32 is the acceleration of gravity in feet per second. Find the period of a pendulum whose length is 1 ft 4 in. (Round the answer to 3 decimal places.) m where L is the length of the pendulum in feet and 32 is the acceleration of gravity in feet per second. Find the period of a pendulum whose length is 1 ft 4 in. (Round the 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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Convert to scientific notation. 0.00000573

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Evaluate: Evaluate:

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