Write an equivalent expression without negative exponents and, if possible, simplify.

$$\frac{5 a^{-3} b c^{-1}}{d^{-6} f^2}$$

Use roster notation to write the set. The set of all odd natural numbers

Baseball. Baseball analysts use the formula $r=0.3 b-0.6 c$ to estimate the number of runs $r$ due to stolen bases for a runner who stole $b$ bases and was caught stealing $c$ times. In 2011, Ichiro Suzuki stole 40 bases and was credited with $7.8$ stolen-base runs. How often was he discovered stealing?

Write an equivalent expression without negative exponents and, if possible, simplify.

$$\frac{p q^{-2} r^{-3}}{2 u^5 v^{-4}}$$

A musical note's pitch is related to the frequency of the wave producing the sound, which is in turn related to the length of the sound wave. By varying lengths, different notes can be produced by an instrument as simple as a piece of PVC pipe. The frequency $f$ of the note produced by striking a pipe of length $L$ and radius $r$ is given by

$$f=\dfrac{2 r+c}{2 L},$$

where $c$ is the speed of sound, which is approximately $13,500 \mathrm{in}$. /sec. The following table shows some frequencies and related pipe lengths for PVC pipe with a radius of $1 \mathrm{in}$. What length pipe should be used in order to create the lowest note on an 88-key piano (an A), which has a frequency of $27.5$ hertz?

International Data Corporation estimated that 988 exabytes of information was generated in 2010 by the worldwide population of $6.8$ billion people. Given that 1 exabyte is $10^{12}$ megabytes, the average amount of data produced per person in 2010 in terms of megabytes.

Find the opposite, or additive inverse.

$$0$$

Simplify and write scientific notation for the answer. Use the correct number of significant digits.

$$\left(8.7 \times 10^{-9}\right) \times\left(4.3 \times 10^{15}\right)$$

Solve. Be sure to check.

$$4 x+5 x=63$$

Solve. IBM estimated that $2.5$ exabytes of information were generated every day in 2012 by a worldwide population of $7.1$ billion people. Given that an average double-spaced typed page is equivalent to 2 kilobytes of information, per person generated, on average, the equivalent of how many typed pages of information?

Simplify to form an equivalent expression by combining like terms. Use the distributive law as required.

$$2 y+\{7[3(2 y-5)-(8 y+7)]+9\}$$

The thickness of a sheet of plastic is measured in mils, where $1 \mathrm{mil}=\frac{1}{1000}$ in. To help conserve heat, the foundation of a 24 - $\mathrm{ft}$ by $32-\mathrm{ft}$ rectangular home is covered with a $4-\mathrm{ft}$ high sheet of 8-mil plastic. Determine the volume of plastic used.

One parsec (a unit that is used in astronomy) is $30,860,000,000,000 \mathrm{~km}$. Write scientific notation for this number.

Holli is going to invest $\$ 950$ at a simple interest rate of $3 \%$. How long will it take for her investment to be worth $\$ 1178$?