## breanna1999 one year ago (X^5/6)^7

1. jdoe0001

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

2. breanna1999

I need help solving it

3. 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: $\frac{ (x^5)^7 }{ 6^7 }$

4. breanna1999

Okay

5. 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

6. jdoe0001

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

7. breanna1999

x^35/6

8. jdoe0001

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