Question

Show me how to solve this, please. 10%5E%7B6%7D%29" id="TexFormula1" title="(2.7 * 10^{5} ) / (9 * 10^{6})" alt="(2.7 * 10^{5} ) / (9 * 10^{6})" align="absmiddle" class="latex-formula">

Answer 1

Answer:

0.03

Step-by-step explanation:

Hello there! Lets get started!

Now, with this problem as simple as it is, there are multiple ways we could solve it! If you have a scientific or graphing calculator, you could easily plug it in as it is! If you just have a four-function calculator, you could still solve it! Or, You could get advanced with log functions and such, but that is not needed at all for this function.

I am going to assume that you only have access to a four-function calculator, so lets begin!

First, we need to expand our numerators and denominators beyond scientific notation!

When dealing with positive scientific notation, you are moving your decimal to the right (I am not going to fully explain how to expand scientific notation, we are just going to move the decimal).

With 2.7 x $10^{5}$, we will move the decimal 5 places to the right!

With 9.0x $10^{6}$, we will move the decimal 6 places to the right!

This gives us 270000 and 9000000!

Now lets solve 270000 ÷ 9000000!

This gives us a final answer of .03!

Hope this helps! Remember, math is fun!

Answer 2

Answer:

3 * 10 ^-2

Step-by-step explanation:

When we divide numbers in scientific notation first divide the number portion

2.7 /9 =.3

Then divide the exponents

10 ^5 / 10 ^6 = 10 ^ (5-6) = 10 ^ -1

.3 * 10 ^-1

We cannot leave the .3 since the first number has to be between 1 and less then 10

Move the decimal 1 place to the right which means subtract 1 from the exponent

3 * 10 ^-2