Chapter 8

Perform the indicated operation. Write the result in scientific notation. $$ \left(9 \times 10^{-9}\right)^{2} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=8^{x}$$

Copy and complete the statement. \(x^{3} \cdot x^{2}=x^{?}\)

Rewrite the expression with positive exponents. $$ \frac{3}{c^{-5}} $$

Write an exponential model to represent the situation. Tell what each variable represents. A population of \(100,000\) decreases by \(2 \%\) each year.

You deposit \(\$1400\) in an account that pays 6% interest compounded yearly. Find the balance at the end of the given time period. $$8 years$$

Tell whether you would move the decimal left or right and how many places to write the number in decimal form. \(1.5 \times 10^{2}\)

Use the power of a quotient property to simplify the expression. $$ \left(\frac{m^{3}}{n^{5}}\right)^{2} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=5(4)^{x}$$

Copy and complete the statement. \(r^{?} \cdot r^{7}=r^{14}\)

Rewrite the expression with positive exponents. $$ (2 x)^{-3} $$

Write an exponential model to represent the situation. Tell what each variable represents. A new sound system, valued at 800 dollar, decreases in value by \(10 \%\) each year.

You deposit \(\$1400\) in an account that pays 6% interest compounded yearly. Find the balance at the end of the given time period. $$12 years$$

Use the power of a quotient property to simplify the expression. $$ \left(\frac{a^{6}}{b^{9}}\right)^{-5} $$

Tell whether you would move the decimal left or right and how many places to write the number in decimal form. $$ 6.89 \times 10^{5} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=3(5)^{x}$$

Write an exponential decay model for the investment. A stock is valued at 100 dollar. Then the value decreases by \(9 \%\) per year.

You deposit \(\$1400\) in an account that pays 6% interest compounded yearly. Find the balance at the end of the given time period. $$20 years$$

Copy and complete the statement. $$ \frac{3^{9}}{3^{5}}=3^{?} $$

Tell whether you would move the decimal left or right and how many places to write the number in decimal form. $$ 9.04 \times 10^{-7} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=\left(\frac{1}{6}\right)^{x}$$

Write the expression as a single power of the base. \(4^{3} \cdot 4^{6}\)

Write an exponential decay model for the investment. $550 is placed in a mutual fund. Then the value decreases by 4% per year.

You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount. $$\$ 250$$

Write the number in decimal form. $$ 5 \times 10^{5} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=\left(\frac{2}{3}\right)^{x}$$

Write the expression as a single power of the base. \(8^{9} \cdot 8^{5}\)

Evaluate the expression. $$ 3^{0} $$

Write an exponential decay model for the investment. A bond is purchased for $70. Then the value decreases by 1% per year.

You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount. $$\$ 300$$

Write the number in decimal form. $$ 8 \times 10^{3} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=2\left(\frac{1}{7}\right)^{x}$$

Write the expression as a single power of the base. \((-2)^{3} \cdot(-2)^{3}\)

Evaluate the expression. $$ (-5)^{0} $$

You buy a used truck for 20,000 dollar. The truck depreciates 7% per year. Find the value of the truck after the given number of years. $$3 years$$

You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount. $$\$ 350$$

Write the number in decimal form. $$ 1 \times 10^{6} $$

Copy and complete the statement. $$ \frac{x^{5}}{x^{2}}=x^{2} $$

Make a table of values for the exponential function. Use \(x\) -values of \(-2,-1,0,1,2,\) and 3. $$y=5\left(\frac{4}{5}\right)^{x}$$

Write the expression as a single power of the base. \(b \cdot b^{4}\)

Evaluate the expression. $$ 4^{-2} $$

You buy a used truck for 20,000 dollar. The truck depreciates 7% per year. Find the value of the truck after the given number of years. $$ 8 years$$

You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount. $$\$ 400$$

Write the number in decimal form. $$ 2.1 \times 10^{4} $$

Copy and complete the statement. $$ \frac{a^{10}}{a^{4}}=a^{?} $$

Use a calculator to evaluate the exponential function when \(x=2.5 .\) Round your answer to the nearest hundredth. $$y=5^{x}$$

Write the expression as a single power of the base. \(x^{6} \cdot x^{3}\)

Evaluate the expression. $$ 9^{-1} $$

You buy a used truck for 20,000 dollar. The truck depreciates 7% per year. Find the value of the truck after the given number of years. $$10 years$$

You deposit \(\$900\) in an account that compounds interest yearly. Find the balance after 10 years for the given interest rate. $$4 \%$$