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Mathematics 24 Online
OpenStudy (hawkfalcon):

Write as a power of three

OpenStudy (amtran_bus):

^3

OpenStudy (hawkfalcon):

\[\frac{ 9^x }{ 3^{1-x} }\]

OpenStudy (hawkfalcon):

I know that \[9^x = 3^{2x}\] but am uncertain how to continue

OpenStudy (mathteacher1729):

Another rule of exponents is \[\large \dfrac{1}{x^{(n)}} = x^{-(n)}\]

OpenStudy (mathteacher1729):

You can take the \[\large\dfrac{1}{3^{(1-x)}}\] and re-write it as \[\large 3^{-(1-x)}\]

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