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

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

yes

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

the simplification

Do you know how to simplify exponents?

nope

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

do you understand how I got these numbers?

you multiplied the, by the exponents

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

that's wrong

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

because you are supposed to multiply 4 three times.

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

4

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

or do you have trouble with that?

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

ohhh

ok. So what does 10x10=?

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

100

and then 10x10x10?

1000

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

yup

So if your exponent is 10^11...

expression, rather

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

right?

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