91Ó°ÊÓ

Write each number in standard notation. $$ 2.54 \times 10^{-3} $$

Write each number in standard notation. $$ -7.68 \times 10^{-4} $$

Write each number in standard notation. $$ 5.92 \times 10^{0} $$

Evaluate. Assume that all variables represent nonzero real numbers. $$ -3^{0}+3^{0} $$

Use the FOIL method to find each product. $$ (z-w)(3 z+4 w) $$

Solve each problem. In \(2016,\) the national debt of the U.S. government was about \(\$ 19.32\) trillion. The U.S. population at that time was approximately 323.1 million. (Data from U.S. Census Bureau, U.S. Department of the Treasury.) (a) Write the population using scientific notation. (b) Write the amount of the national debt using scientific notation. (c) Using the answers for parts (a) and (b), calculate how much debt this is per American. Write this amount in standard notation to the nearest dollar.

The cost in dollars to produce \(x\) youth baseball caps is \(C(x)=4.3 x+75 .\) The revenue in dollars from sales of \(x\) caps is \(R(x)=25 x\) (a) Write and simplify a function \(P\) that gives profit in terms of \(x\) (b) Find the profit if 50 caps are produced and sold.

Solve each problem. In 2017 , the population of Costa Rica was approximately \(4.93 \times 10^{6} .\) The population density was 96.6 people per square kilometer. (Data from The World Almanac and Book of Facts.) (a) Write the population density in scientific notation. (b) To the nearest square kilometer, what is the area of Costa Rica?

Write each expression using only positive exponents. Assume that all variables represent nonzero real numbers. $$ -a^{-3} $$

Find each product. $$ (y-5)^{2} $$