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Mathematics 14 Online
OpenStudy (anonymous):

3^-3

OpenStudy (danjs):

\[a^{-b} = \frac{ 1 }{ a^{+b} }\]

OpenStudy (anonymous):

\[\large x^{-n} \implies \frac{ 1 }{ x^n }\]

OpenStudy (anonymous):

i dont understand

OpenStudy (danjs):

move the base 3 to the other side of the fraction, and change the sign on the power

OpenStudy (danjs):

1 / 3^3

OpenStudy (anonymous):

also in the denominator with 1 on the numerator and the denominator will be raised to the 3rd power

OpenStudy (danjs):

\[\frac{ 3^{-3} }{ 1 } = \frac{ 1 }{ 3^3 }\]

OpenStudy (anonymous):

so it would be -1/27 ?

OpenStudy (danjs):

no

OpenStudy (danjs):

\[\frac{ 3^{-3} }{ 1 } = \frac{ 1 }{ 3^3 } = \frac{ 1 }{ 27 }\]

OpenStudy (anonymous):

-27 by it self?

OpenStudy (danjs):

one twenty seventh

OpenStudy (anonymous):

so just take away the negative sign

OpenStudy (danjs):

you can move bases raised to powers to the other side of the fraction, and that will change the sign on the power. \[3^{-3} = \frac{ 1 }{ 3^3 } = \frac{ 1 }{ 27 }\]

OpenStudy (danjs):

try \[\frac{ 3^{-10 }}{ 5^{-4} } = \]

OpenStudy (danjs):

sorry got to run... change the sign on the power when you change the side of the fraction the base is on...like this.. \[\frac{ 3^{-10 }}{ 5^{-4} } = \frac{ 5^4 }{ 3^{10} }\]

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