Question

When simplified, the expression (x Superscript one-eighth Baseline) (x Superscript three-eighths Baseline) is 12. Which is a possible value of x?

6
24
144
256

Answer 1

Answer: To find a possible value of x that satisfies the equation (x^(1/8))(x^(3/8)) = 12, we can simplify the expression and solve for x.

Using the exponent properties, we can combine the two exponents:

(x^(1/8))(x^(3/8)) = x^((1/8) + (3/8)) = x^(4/8) = x^(1/2)

So the equation can be written as:

x^(1/2) = 12

To solve for x, we need to eliminate the exponent by raising both sides of the equation to the power of 2:

(x^(1/2))^2 = 12^2

x = 144

Therefore, a possible value of x that satisfies the equation is 144.

Explanation: