Question
Simplify:
9^5 x^-3 y^15 z^-8
——————————
3^7 x^-4 y^11 z^5
9^5 x^-3 y^15 z^-8
——————————
3^7 x^-4 y^11 z^5
Answers
bobpursley
move the variables to the numerator,change the 9 to 3<sup>2</sup>
3<sup>2*5</sup> x<sup>-3+4</sup>y<sup>15-11</sup> z<sup>-8-5</sup>/3<sup>7</sup>
then move the 3 to the numerator.
3<sup>2*5-7</sup> x<sup>-3+4</sup>y<sup>15-11</sup> z<sup>-8-5</sup>
Now combine exponents:
3<sup>3</sup> x<sup>1</sup>y<sup>4</sup> z<sup>-13</sup>
Enough?
3<sup>2*5</sup> x<sup>-3+4</sup>y<sup>15-11</sup> z<sup>-8-5</sup>/3<sup>7</sup>
then move the 3 to the numerator.
3<sup>2*5-7</sup> x<sup>-3+4</sup>y<sup>15-11</sup> z<sup>-8-5</sup>
Now combine exponents:
3<sup>3</sup> x<sup>1</sup>y<sup>4</sup> z<sup>-13</sup>
Enough?
Nikko
Yes tysm! :)