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\[\huge (9 \times 10^6)^{-4}\]

Write each answer in scientific notation.

9*10^-24

^ means to the power of

but wouldn't the 9 also be raised to the negative four power?

no, it's basically stating that the exponents would be multiplied together

the 9 is raised to the -4 as well

yes that's what i was thinking

\[\frac{ 1 }{ 9^4 \times 10^{-24} }\]

would that be correct?

The 9 is also raised because it is in the exponent making it
(9^-4) (10^-24)

I don' think you are supposed to put it under 1

\[9^{-4}\times10^{-24}=\frac{ 1 }{ 9^4\times10^{24} }\]

what format are you trying to write this in?

scientific notation

okay so that would be like 6561

so we have to add 10^{-4} and 10^{-24} together? and why?

because when you multiply terms with the same base you add the exponents
\[x^a \times x^b=x^{a+b}\]

so i was kind of confused

yeah that's the same thing, except you add it to the original exponent, not multiply

okay so if we have now:
\[\frac{ 4 \times 10^{-2} }{ 3.01 \times 10^{-2} }\]

we would just divide them and then use the same thing that we did for this problem?

yes, and since this is division, subtract the exponents

okay. can u hold on for like a minute while i try to solve the problem?

sure

would it be:
1.33 x 10^0

yes

thank you so much!

you're welcome :)