if 17/19 raised to the power 7 X 19/17 raised to the power -8 = 17/19 raised to the power 3x find the value of x

if 17/19 raised to the power 7 X 19/17 raised to the power -8 = 17/19

1.	if 17/19 raised to the power 7 X 19/17 raised to the power -8 = 17/19 raised to the power 3x find the value of x
Answer» <html><body><p>IS 5Explanation:[Any <a href="https://interviewquestions.tuteehub.com/tag/number-582134" style="font-weight:bold;" target="_blank" title="Click to know more about NUMBER">NUMBER</a> (say x) <a href="https://interviewquestions.tuteehub.com/tag/raised-2242366" style="font-weight:bold;" target="_blank" title="Click to know more about RAISED">RAISED</a> to the power some number (say n) can also be written as x^n](17/19)^<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a> * (19/17)^-8 = (17/19)^<a href="https://interviewquestions.tuteehub.com/tag/3x-310805" style="font-weight:bold;" target="_blank" title="Click to know more about 3X">3X</a> =⟩ (17/19)^7 * (17/19)^8 = (17/19)^3x [Sign of the power is reversed when reciprocal is <a href="https://interviewquestions.tuteehub.com/tag/done-2591742" style="font-weight:bold;" target="_blank" title="Click to know more about DONE">DONE</a>]=⟩ 7+8=3x [Since all the abses are same, hence the powers are also same]=⟩ 15=3x=⟩ x=15/3 = 5</p></body></html>