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

## Question: When simplified, the expression (x^{1/8})(x^{3/8}) 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 (x^{1/8})(x^{3/8}) = 12

Let's solve the given equation (x^{1/8})(x^{3/8}) = 12

## Explanation:

Given that, (x^{1/8})(x^{3/8}) is 12.

(x^{1/8})(x^{3/8}) = 12

x^{(1/8 + }^{3/8) }= 12 (since, a^{m} × a^{n} = a^{m+n})

x^{(1+}^{3)/8 }= 12

x^{4/}^{8 }= 12

x^{1/2 }= 12

x = 12^{2}

x = 144.

### Thus, the possible value of x is 144.

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