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OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

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

OpenStudy (anonymous):

the simplification

OpenStudy (anonymous):

Do you know how to simplify exponents?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

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

OpenStudy (anonymous):

do you understand how I got these numbers?

OpenStudy (anonymous):

you multiplied the, by the exponents

OpenStudy (anonymous):

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

OpenStudy (anonymous):

that's wrong

OpenStudy (anonymous):

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

OpenStudy (anonymous):

because you are supposed to multiply 4 three times.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

4

OpenStudy (anonymous):

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

OpenStudy (anonymous):

or do you have trouble with that?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

ohhh

OpenStudy (anonymous):

ok. So what does 10x10=?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

100

OpenStudy (anonymous):

and then 10x10x10?

OpenStudy (anonymous):

1000

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

So if your exponent is 10^11...

OpenStudy (anonymous):

expression, rather

OpenStudy (anonymous):

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

OpenStudy (anonymous):

right?

OpenStudy (anonymous):

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

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