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Mathematics 10 Online
OpenStudy (breanna1999):

(X^5/6)^7

OpenStudy (jdoe0001):

ok... so... thanks for sharing that

OpenStudy (breanna1999):

I need help solving it

OpenStudy (owlcoffee):

There is a fun property that has the following structure: \[(\frac{ a^m }{ b^n })^u=\frac{ (a^m)^u }{ (b^n)^u }\] This means, that any fraction with an exponent, can be represented by the numerator and denominator to the same exponent, separately. So thereby, on the exercise: \[(\frac{ x^5 }{ 6 })^7\] can be represented as: \[\frac{ (x^5)^7 }{ 6^7 }\]

OpenStudy (breanna1999):

Okay

OpenStudy (jdoe0001):

solving it? there's nothing to solve per se there is no equation or inequality sign or anything being requested as I can see it

OpenStudy (jdoe0001):

hmmm what are you meant to do with \(\Large \left( x^{\frac{5}{6}} \right)^7?\)

OpenStudy (breanna1999):

x^35/6

OpenStudy (jdoe0001):

if you mean, to simplify it yes \(\bf \large \Large \left( x^{\frac{5}{6}} \right)^7\implies x^{\frac{5}{6}\cdot 7}\implies x^{\frac{5\cdot 7}{6}}\implies x^{\frac{35}{6}} \)

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