OpenStudy (anonymous):

Simplify the expression. Write the answer using scientific notation (4x10to the 11th)-2 square

6 years ago
OpenStudy (anonymous):

Does it look this? \[(4\times10^{11})-2^{2}\]

6 years ago
OpenStudy (anonymous):

yes

6 years ago
OpenStudy (anonymous):

What are you having trouble with? The simplification or the scientific notation?

6 years ago
OpenStudy (anonymous):

the simplification

6 years ago
OpenStudy (anonymous):

Do you know how to simplify exponents?

6 years ago
OpenStudy (anonymous):

nope

6 years ago
OpenStudy (anonymous):

\[3^{2}=3\times3=9\] \[4^{3}=4\times4\times4=64\]

6 years ago
OpenStudy (anonymous):

do you understand how I got these numbers?

6 years ago
OpenStudy (anonymous):

you multiplied the, by the exponents

6 years ago
OpenStudy (anonymous):

But if I multiplied the number by the exponents,\[4^{3}=12\]

6 years ago
OpenStudy (anonymous):

that's wrong

6 years ago
OpenStudy (anonymous):

What I did was multiply the base (the bigger number) t times(The little number is t)

6 years ago
OpenStudy (anonymous):

because you are supposed to multiply 4 three times.

6 years ago
OpenStudy (anonymous):

exactly. Then what does \[2^{2}=?\]

6 years ago
OpenStudy (anonymous):

4

6 years ago
OpenStudy (anonymous):

and \[10^{11}=?\]

6 years ago
OpenStudy (anonymous):

or do you have trouble with that?

6 years ago
OpenStudy (anonymous):

I'm trying to figure that out. my calculator just keeps telling me 1e+11

6 years ago
OpenStudy (anonymous):

ohhh

6 years ago
OpenStudy (anonymous):

ok. So what does 10x10=?

6 years ago
OpenStudy (anonymous):

and the 2to the -2 square was just a -2 as an exponent. No base

6 years ago
OpenStudy (anonymous):

100

6 years ago
OpenStudy (anonymous):

and then 10x10x10?

6 years ago
OpenStudy (anonymous):

1000

6 years ago
OpenStudy (anonymous):

So you see that everytime you add one to your exponent, you add one zero, right?

6 years ago
OpenStudy (anonymous):

yup

6 years ago
OpenStudy (anonymous):

So if your exponent is 10^11...

6 years ago
OpenStudy (anonymous):

expression, rather

6 years ago
OpenStudy (anonymous):

It would be 1 with 11 zeros behind it, or , 10000000000

6 years ago
OpenStudy (anonymous):

right?

6 years ago
OpenStudy (anonymous):

If you just want the answer, it's \[6.25×10^{-24}\]

6 years ago