Answer: [tex]1.495*10^8\ inches[/tex]
Step-by-step explanation:
For this exercise you have to remember the Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Let be "x" the height in inches of a stack of [tex]2.5*10^9[/tex] pennies.
You know that the thickness of 1 pennie is [tex]5.98*10^{-2}\ inches[/tex], then, you can write the following proportion:
[tex]\frac{5.98*10^{-2}}{1}=\frac{x}{2.5*10^9}[/tex]
Solve for "x":
[tex](2.5*10^9)(\frac{5.98*10^{-2}}{1})=x\\\\x=14.95*10^7[/tex]
To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:
[tex]x=1.495*10^8[/tex]
