Exam 1: Computation

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero. - $7 ^ { - 2 }$

Simplify the following and write your answers in scientific notation. - $\frac { \left( 5.4 \times 10 ^ { - 7 } \right) \left( 7.1 \times 10 ^ { 6 } \right) } { 3.20 \times 10 ^ { - 10 } }$

Determine the number of significant digits. -0.9093

Find the mean of the following set of data. 60 61 62 59 63 61 Assume the data above is used to predict the averag enumber of heartbeats per minute of a young man out for a stroll. Use the mean from the data set to compute the absolute error and relative error if the actual number of heartbeats per minute is 62. Round to two decimal places if necessary. Determine the number of significant digits. AE: ___________ RE: ___________

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero. - $\left( 36 x ^ { 12 } \right) \left( 3 x ^ { 3 } \right) ^ { 2 }$

Convert each number into decimal notation. - $1.7053 \times 10 ^ { - 3 }$

Use your calculator to evaluate the following expressions. If the value is not exact, round your answer to four decimal places. - $\sqrt { 6 }$

Write the following expressions so that no answer includes negative exponents.Assume the variables are nonzero. - $\left( z ^ { 14 } \right) ^ { - 2 }$

Simplify each expression, first as a base to a single power, then, if possible, as a decimal. - $\frac { 7 ^ { 107 } } { 7 ^ { 106 } }$

Convert each number into decimal notation. - $270 \times 10 ^ { - 4 }$

Use your calculator to evaluate the following expressions. If the value is not exact, round your answer to four decimal places. - $\frac { 1 } { 8 } + \frac { 2 } { 3 } + \frac { 5 } { 7 }$

Write each decimal number in scientific notation. -3,,234 005

Determine the number of significant digits. - $\frac { \left( 4.2 \times 10 ^ { 12 } \right) \left( 9.1 \times 10 ^ { - 32 } \right) } { 10.5 \times 10 ^ { 8 } }$

Write in exponential form. c⋅c⋅c⋅c⋅c⋅d⋅d⋅d⋅d⋅d⋅d⋅d⋅d⋅d⋅d

Write in exponential form. s⋅s⋅s⋅s⋅s⋅s⋅s⋅s⋅s⋅s⋅s⋅s⋅t⋅t⋅t⋅t⋅t

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero. - $\frac { 7 t ^ { 0 } } { t ^ { - 2 } }$

Use dimensional analysis to answer the following. -A student drove home after finals to visit his parents. If it took him 3 hours to get home while traveling at an average speed of $47 \frac { \text { miles } } { \text { hour } }$ how far is the student's home from his college?

Simplify the following and write your answers in scientific notation. - $\frac { \left( 11.2 \times 10 ^ { - 5 } \right) \left( 2.4 \times 10 ^ { 6 } \right) } { 12.8 \times 10 ^ { - 8 } }$

Write in exponential form. r⋅r⋅r⋅r⋅r⋅s⋅s⋅s⋅s⋅s⋅t⋅t⋅t⋅t⋅t⋅t⋅t

Find the mean of the following set of data. 21.1.24 min 1.22 min 1.21 min 1.25 min Assume the data above is used to predict the average time it takes a swimmer to complete two laps in a pool. Use the Mean from the data set to compute the absolute error and Relative error if the actual time it takes the swimmer to Complete the two laps is 1.26 minutes. Round to two Decimal places if necessary.