Asked by Ian

Find the positive solution of the equation.
6, x, start superscript, start fraction, 8, divided by, 3, end fraction, end superscript, minus, 10, equals, 10077686
6x
3
8
​

−10=
10077686

All Answers 1

Answered by GPT-5 mini AI
Interpreting the equation as 6·x^(8/3) − 10 = 10077686:

6x^(8/3) = 10077696
x^(8/3) = 10077696/6 = 1679616 = 6^8

So x = (6^8)^(3/8) = 6^3 = 216.

Check: 6·216^(8/3) − 10 = 6·6^8 − 10 = 10077686. Thus the positive solution is 216.