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Mathematics 19 Online
OpenStudy (keana):

help!!!!! (pic below)

OpenStudy (keana):

OpenStudy (jhannybean):

remember, \(\dfrac{1}{x} \iff x^{-1}\)

OpenStudy (keana):

i know i have to eliminate the negative exponents but idk how

OpenStudy (jhannybean):

Also, \(\dfrac{x^m}{x^n} = x^{m-n}\)

OpenStudy (jhannybean):

Start by splitting up all the terms into like-term fractions: \[\large \frac{15}{5} \cdot \frac{a^{-3}}{a^6} \cdot \frac{b^4}{b^{-2}} \cdot \frac{c^6}{c^4}\] now you subtract the power of the numerator from the denominator in each fraction, and simplify the constants.

OpenStudy (jhannybean):

\[\large \frac{15}{5} \cdot a^{-3-6} \cdot b^{4-(-2)} \cdot c^{6-4}\] Simplify this :)

OpenStudy (keana):

\[15(1/a^3)b^4c^6\]

OpenStudy (jhannybean):

\[\large a^{-3-6} \ne a^3\]

OpenStudy (keana):

\[5a^6(1/a^2)c^4\]

OpenStudy (jhannybean):

\[\large a^{-3-6} = a^{-(3+6)} = ~?\]

OpenStudy (jhannybean):

@keana ?

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