If x = 2^(3/4), what is x^4?

If x = 2^(3/4), what is x^4?

Correct Answer: 8

Step 1: Start with the value of x, which is given as x = 2^(3/4).
Step 2: We need to find x^4, which means we will raise x to the power of 4.
Step 3: Substitute the value of x into the expression: x^4 = (2^(3/4))^4.
Step 4: Use the power of a power rule, which states that (a^m)^n = a^(m*n). Here, a = 2, m = 3/4, and n = 4.
Step 5: Multiply the exponents: (3/4) * 4 = 3.
Step 6: So, we have x^4 = 2^3.
Step 7: Calculate 2^3, which is 2 * 2 * 2 = 8.
Step 8: Therefore, x^4 = 8.

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