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

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

Options:

  1. 2
  2. 4
  3. 8
  4. 16

Correct Answer: 8

Solution: 

x^4 = (2^(3/4))^4 = 2^3 = 8.

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

Practice Questions

Q1
If x = 2^(3/4), what is x^4?
  1. 2
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

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.
  • Exponents – Understanding how to manipulate and simplify expressions involving exponents.
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