Question 1053329
(7^x)^4 is equal to 7^(4x).


7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.


7^5 / 7^(3x) is equal to 7^(5 - 3x).


you wind up with 7^(4x) is equal to 7^(5 - 3x)


this is true if and only if 4x = 5 - 3x.


solve for x to get x = 5/7.


that's your answer.


here's a lesson on the properties of exponents that you might find helpful.


<a href = "http://www.mathplanet.com/education/algebra-1/exponents-and-exponential-functions/properties-of-exponents" target = "_blank">http://www.mathplanet.com/education/algebra-1/exponents-and-exponential-functions/properties-of-exponents</a>