## How do you evaluate fractions in MATLAB?

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## How do you estimate fractional exponents?

Fractional Exponents Rules

- Rule 1: a1/m × a1/n = a(1/m + 1/n)
- Rule 2: a1/m ÷ a1/n = a(1/m – 1/n)
- Rule 3: a1/m × b1/m = (ab)1/m
- Rule 4: a1/m ÷ b1/m = (a÷b)1/m
- Rule 5: a-m/n = (1/a)m/n

**How do you find the roots of a polynomial in MATLAB?**

Use the poly function to obtain a polynomial from its roots: p = poly(r) . The poly function is the inverse of the roots function. Use the fzero function to find the roots of nonlinear equations.

**Can an exponent be a fraction in a polynomial?**

Polynomials cannot contain fractional exponents. Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.

### What does 1E 08 mean?

1.0 × 10-8 = 1E-08 = 0.00000001.

### How do you find the fractional exponent of a radical?

The root determines the fraction. In this case, the index of the radical is 3, so the fractional exponent will be \\frac {1} {3}. Since 4 is outside the radical, it is not included in the grouping symbol and the exponent does not refer to it. All of the numerators for the fractional exponents in the examples above were 1.

**How do you calculate the matrix exponential in MATLAB?**

When you raise a scalar to the power of a matrix, MATLAB uses the eigenvalues and eigenvectors of the matrix to calculate the matrix power. If [V,D] = eig (A), then . The matrix exponential is a special case of raising a scalar to a matrix power. The base for a matrix exponential is Euler’s number e = exp (1).

**How do you use factoring and rules for exponents?**

We will use factoring and rules for exponents to simplify mathematical expressions that contain roots. The most common root is the square root. First, we will define what square roots are, and how you find the square root of a number. Then we will apply similar ideas to define and evaluate nth roots.

## How do you simplify a rational expression with a fraction?

Simplify the expression by using simplifyFraction. syms x y fraction = ((y+1)^2*(x^2-1))/((x+1)*(x-1)^2); simplifyFraction(fraction) ans = (y + 1)^2/(x – 1) Simplify the same rational expression again. Expand the numerator and denominator of the resulting fraction by setting ‘Expand’ to true.