(15power1/3/9power1/4)power-6)
Answers
Answered by
2
Hey friend,
Here is the answer you were looking for:
![{( \frac{ {15}^{ \frac{1}{3} } }{ {9}^{ \frac{1}{4} } } )}^{ - 6} \\ \\ = \frac{ {15}^{ \frac{1}{3} \times - 6 } }{ {9}^{ \frac{1}{4} \times - 6} } \\ \\ = \frac{ {15}^{ - 2} }{ {9}^{ \frac{1}{2} \times - 3 } } \\ \\ = \frac{ {15}^{ - 2} }{ {9}^ - { \frac{3}{2} } } \\ \\ = \frac{ {15}^{ - 2} }{ {3}^{2 \times - \frac{3}{2} } } \\ \\ = \frac{ {15}^{ - 2} }{ {3}^{ - 3} } \\ \\ = \frac{ {3}^{3} }{ {15}^{2} } \\ \\ = \frac{3 \times 3}{15 \times 15} \\ \\ = \frac{1 \times 1}{5 \times 5} \\ \\ = \frac{1}{25} {( \frac{ {15}^{ \frac{1}{3} } }{ {9}^{ \frac{1}{4} } } )}^{ - 6} \\ \\ = \frac{ {15}^{ \frac{1}{3} \times - 6 } }{ {9}^{ \frac{1}{4} \times - 6} } \\ \\ = \frac{ {15}^{ - 2} }{ {9}^{ \frac{1}{2} \times - 3 } } \\ \\ = \frac{ {15}^{ - 2} }{ {9}^ - { \frac{3}{2} } } \\ \\ = \frac{ {15}^{ - 2} }{ {3}^{2 \times - \frac{3}{2} } } \\ \\ = \frac{ {15}^{ - 2} }{ {3}^{ - 3} } \\ \\ = \frac{ {3}^{3} }{ {15}^{2} } \\ \\ = \frac{3 \times 3}{15 \times 15} \\ \\ = \frac{1 \times 1}{5 \times 5} \\ \\ = \frac{1}{25}](https://tex.z-dn.net/?f=+%7B%28+%5Cfrac%7B+%7B15%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+%7D%7B+%7B9%7D%5E%7B+%5Cfrac%7B1%7D%7B4%7D+%7D+%7D+%29%7D%5E%7B+-+6%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7B15%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%5Ctimes++-+6+%7D+%7D%7B+%7B9%7D%5E%7B+%5Cfrac%7B1%7D%7B4%7D++%5Ctimes++-+6%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7B15%7D%5E%7B+-+2%7D+%7D%7B+%7B9%7D%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%5Ctimes++-+3+%7D+%7D+%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7B15%7D%5E%7B+-+2%7D+%7D%7B+%7B9%7D%5E+-+%7B+%5Cfrac%7B3%7D%7B2%7D+%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7B15%7D%5E%7B+-+2%7D+%7D%7B+%7B3%7D%5E%7B2+%5Ctimes++-++%5Cfrac%7B3%7D%7B2%7D+%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7B15%7D%5E%7B+-+2%7D+%7D%7B+%7B3%7D%5E%7B+-+3%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7B3%7D%5E%7B3%7D+%7D%7B+%7B15%7D%5E%7B2%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B3+%5Ctimes+3%7D%7B15+%5Ctimes+15%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B1+%5Ctimes+1%7D%7B5+%5Ctimes+5%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B1%7D%7B25%7D+)
Hope this helps!!!!
@Mahak24
Thanks....
☺☺
Here is the answer you were looking for:
Hope this helps!!!!
@Mahak24
Thanks....
☺☺
Similar questions