Question

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

Answer 1

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

Answer 2

yes

Answer 3

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

Answer 4

the simplification

Answer 5

Do you know how to simplify exponents?

Answer 6

nope

Answer 7

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

Answer 8

do you understand how I got these numbers?

Answer 9

you multiplied the, by the exponents

Answer 10

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

Answer 11

that's wrong

Answer 12

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

Answer 13

because you are supposed to multiply 4 three times.

Answer 14

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

Answer 15

4

Answer 16

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

Answer 17

or do you have trouble with that?

Answer 18

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

Answer 19

ohhh

Answer 20

ok. So what does 10x10=?

Answer 21

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

Answer 22

100

Answer 23

and then 10x10x10?

Answer 24

1000

Answer 25

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

Answer 26

yup

Answer 27

So if your exponent is 10^11...

Answer 28

expression, rather

Answer 29

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

Answer 30

right?

Answer 31

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