Question

(6^(x))^(10)=((6^(12)))/(6^(4))

Answer 1

x=4/5

Explanation:

6^x^10 = 6^12 / 6^4

We know that a^b^c = a^(b*c)

6^x^10 = 6^10x

and

We know a^b / a^c = a^(b-c)

6^12 / 6^4 = 6^(12-4) = 6^8

Replacing into the original equation

6^x^10 = 6^12 / 6^4

6^(10x) = 6^8

The bases are the same, so the exponents must be the same

10x = 8

Divide each side by 10

10x/10 = 8/10

x = 4/5