Mathematics

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

Join the QuestionCove community and study together with friends!

Sign Up

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?

Join the QuestionCove community and study together with friends!

Sign Up

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,\[4^{3}=12\]

Join the QuestionCove community and study together with friends!

Sign Up

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

Join the QuestionCove community and study together with friends!

Sign Up

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=?

Join the QuestionCove community and study together with friends!

Sign Up

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?

Join the QuestionCove community and study together with friends!

Sign Up

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?

Join the QuestionCove community and study together with friends!

Sign Up

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