Question 1

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.
-$\frac { y ^ { 14 } } { y ^ { - 3 } }$

Accepted Answer

A)  $y ^ { 11 }$ 
B)  $y ^ { - 42 }$ 
C)  $y ^ { 17 }$ 
D)  $y ^ { - 17 }$ 
E)  None of these 
A)  $y ^ { 11 }$ 
B)  $y ^ { - 42 }$ 
C)  $y ^ { 17 }$ 
D)  $y ^ { - 17 }$ 
E)  None of these

Question 2

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero.
-$1 ^ { - 1000 }$

Accepted Answer

The answer of Write the following expressions so that no...

Question 3

Determine the number of significant digits.
-5,200,010

Accepted Answer

A)  2 
B)  3 
C)  6 
D)  7 
E)  None of these 
A)  2 
B)  3 
C)  6 
D)  7 
E)  None of these

Question 4

Write each decimal number in scientific notation.
-0.0021055

Accepted Answer

The answer of Write each decimal number in scientific notation.
-0.0021055...

Question 5

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.
-$\frac { - 8 ^ { 2 } } { 8 ^ { 0 } }$

Accepted Answer

A)  8 
B)  -8 
C)  64 
D)  -64 
E)  None of these 
A)  8 
B)  -8 
C)  64 
D)  -64 
E)  None of these

Question 6

Simplify the following and write your answers in scientific notation.
-Find the mean of the following set of data. 
11.26 sec 11.23 sec 11.30 sec 11.29 sec 
Assume the data above is used to predict the average time it takes a runner to run the 100-m dash. Use the mean from the data set to compute the absolute error and relative error if the actual time to run the 100 meters is 11.26 seconds. Round to two decimal places if necessary.
AE: ___________
RE: ___________

Accepted Answer

The answer of Simplify the following and write your answers...

Question 7

Simplify the following and write your answers in scientific notation.
-$\frac { \left( 4.9 \times 10 ^ { 17 } \right) \left( 1.3 \times 10 ^ { - 2 } \right) } { 5.6 \times 10 ^ { 18 } }$

Accepted Answer

The answer of Simplify the following and write your answers...

Question 8

Convert each number into decimal notation.
-9.247 times 109

Accepted Answer

A)  9,247,000,000,000 
B)  9,247,000 
C)  924,700,000 
D)  9,247,000,000 
E)  None of these 
A)  9,247,000,000,000 
B)  9,247,000 
C)  924,700,000 
D)  9,247,000,000 
E)  None of these

Question 9

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.
-$\sqrt { 5 }$

Accepted Answer

The answer of Use your calculator to evaluate the following...

Question 10

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.
-$3 ^ { 2 } \cdot x ^ { 6 } \cdot x ^ { 23 }$

Accepted Answer

The answer of Simplify each expression, first as a base...

Question 11

How many hundreds, tens, and ones are in the following sum? $\begin{array} { r } 
855 \
+ 741 \
\hline
\end{array}$

Accepted Answer

15 hundred

Question 12

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero.
-$\left( 6 x ^ { 2 } \right) \left( 4 x ^ { 2 } \right) ^ { 2 }$

Accepted Answer

The answer of Write the following expressions so that no...

Question 13

Use dimensional analysis to answer the following.
-A leaky faucet wastes three quarts of water per day.
Assuming this loss rate doesn't change, approximately
how many gallons of water is wasted per year? There
are four quarts per gallon and about 365 days per year.

Accepted Answer

273.75 gal

Simplify each expression, first as a base to a single power, then, if possible, as a decimal. - $\frac { y ^ { 14 } } { y ^ { - 3 } }$

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero. - $1 ^ { - 1000 }$

Determine the number of significant digits. -5,200,010

Write each decimal number in scientific notation. -0.0021055

Simplify each expression, first as a base to a single power, then, if possible, as a decimal. - $\frac { - 8 ^ { 2 } } { 8 ^ { 0 } }$

Simplify the following and write your answers in scientific notation. - $\frac { \left( 4.9 \times 10 ^ { 17 } \right) \left( 1.3 \times 10 ^ { - 2 } \right) } { 5.6 \times 10 ^ { 18 } }$

Convert each number into decimal notation. -9.247 times 10⁹

Use your calculator to evaluate the following expressions. If the value is not exact, round your answer to four decimal places. - $\sqrt { 5 }$

Simplify each expression, first as a base to a single power, then, if possible, as a decimal. - $3 ^ { 2 } \cdot x ^ { 6 } \cdot x ^ { 23 }$

How many hundreds, tens, and ones are in the following sum? 855 +741

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero. - $\left( 6 x ^ { 2 } \right) \left( 4 x ^ { 2 } \right) ^ { 2 }$

Use dimensional analysis to answer the following. -A leaky faucet wastes three quarts of water per day. Assuming this loss rate doesn't change, approximately how many gallons of water is wasted per year? There are four quarts per gallon and about 365 days per year.

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Exam 1: Computation

Simplify each expression, first as a base to a single power, then, if possible, as a decimal. - y14y−3\frac { y ^ { 14 } } { y ^ { - 3 } }y−3y14​

Write the following expressions so that no answer includes negative exponents. Assume the variables are nonzero. - 1−10001 ^ { - 1000 }1−1000