Question

Find the value of x, if (6x)power 6=6power 2 power3​

Answer 1

Step-by-step explanation:

=> $6x^{6} = [6^{2}]^{3}$

=> $6x^{6} = 6^{2 * 3}$

=> $6x^{6} = 6^{6}$

=> $x^{6} = \frac{6^6}{6}$

=> $x^{6} = 6^{5}$

=> $x = \sqrt[6]{6^5}$

=> $x = [6^{5}]^\frac{1}{6}$

=> $x = 6^{5*\frac{1}{6} }$

=> $x = 6^{\frac{5}{6}$     OR    => $x = \sqrt[6]{6^{5} }$