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

Use scientific notation to perform each computation. Write your answers in scientific notation. (5,900,000) (55,000,000)

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

Simplify the expression. Express the answer in radical form if necessary.

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

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

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

Express in meters, using powers of 10. 3.7 · 10^-9 meters

Perform the conversion given that there are $\pi$ /180 radians in 1 degree. Convert 180 degrees to radians. Give an exact answer in terms of .

Perform the conversion given that there are 5280 feet in 1 mile. Convert 25 miles per day to inches per second. If necessary, round your answer to 2 decimal places.

Convert to decimal notation. -1.63 · 10⁶

Determine the order-of-magnitude difference between and .

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

Simplify by removing all possible factors from the radical.

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

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

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

Evaluate:

Perform the conversion given that 1 meter = 3.28 feet and 3 feet = 1 yard. Convert 20 yards to meters. Round your answer to 2 decimals.

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

Simplify by removing all possible factors from the radical.