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

Determine the order of magnitude difference between gigameters and centimeters.

Use your calculator to evaluate to four decimal places. 10^6.5

Evaluate:

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

Solve. Round your answer to 3 decimal places.

Simplify by removing all possible factors from the radical, then combine any like terms.

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

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

Simplify the expression.

Our galaxy measures approximately kilometers across. If a space vehicle were capable of moving at half the speed of light (approximately kilometers per second), how many years would it take for the vehicle to cross the galaxy? Write your answer in scientific notation and round your final coefficient to 2 decimal places. (Use 365 days in a year.)

Determine the order of magnitude difference between and .

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

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

Solve for x: 10^4.9 = x Round the answer to 4 decimal places.

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

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

Assume all variables represent positive quantities and simplify.

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 and evaluate whenever possible.