Let X N 0 1 Calculate E X4

How to Use This Calculator

To calculate e^x4 when x^n = 0.1:

1. Enter the value of n (exponent in the equation x^n = 0.1)
2. Select whether x is positive or negative
3. Click "Calculate" to see the result for e^x4
4. Review the step-by-step solution and chart visualization

The calculator will show you the exact value of e^x4 based on your input, along with the intermediate steps used to arrive at the solution.

Formula Explained

The calculation follows these steps:

1. Solve x^n = 0.1 for x: x = (0.1)^(1/n)
2. Calculate x4: x4 = x^4
3. Compute e^x4: e^x4 = e^(x4)

Where:

• n = exponent in the original equation
• x = base value calculated from the equation
• e = Euler's number (approximately 2.71828)

Worked Example

Let's solve for e^x4 when x^3 = 0.1 (n=3):

1. Calculate x: x = (0.1)^(1/3) ≈ 0.4642
2. Calculate x4: x4 = (0.4642)^4 ≈ 0.0402
3. Calculate e^x4: e^0.0402 ≈ 1.0410

The result is approximately 1.0410. The calculator provides this solution instantly for any valid input.