When Simplified, the Expression Is 12. Which Is a Possible Value of X?


Question: When simplified, the expression (x1/8)(x3/8) is 12. Which is a possible value of x?

(a) 6  (b) 24  (c) 144  (d) 256

The question is based on the law of exponents.

Answer: The possible value of x is 144 which satisies (x1/8)(x3/8) = 12

Let's solve the given equation (x1/8)(x3/8) = 12

Explanation:

Given that, (x1/8)(x3/8) is 12.

(x1/8)(x3/8) = 12

x(1/8 + 3/8) = 12      (since, am × an = am+n)

x(1+3)/8 = 12

x4/= 12

x1/2 = 12

x = 122

x = 144.

Thus, the possible value of x is 144.