# Algebra II : Radicals as Exponents

## Example Questions

### Example Question #72 : Understanding Radicals

Rewrite the following radical as an exponent:

Explanation:

In order to rewrite a radical as an exponent, the number in the radical that indicates the root, gets written as a fractional exponent. Distribute the exponent to all terms by multiplying it by the exponents of each term as shown below:

From this point simplify the exponents accordingly:

### Example Question #73 : Understanding Radicals

Rewrite the following radical as an exponent:

Explanation:

In order to rewrite a radical as an exponent, the number in the radical that indicates the root, gets written as a fractional exponent. Distribute the exponent to all terms by multiplying it by the exponents of each term as shown below:

From this point simplify the exponents accordingly:

### Example Question #74 : Understanding Radicals

Rewrite the following radical as an exponent:

Explanation:

In order to rewrite a radical as an exponent, the number in the radical that indicates the root, gets written as a fractional exponent. Distribute the exponent to both terms by multiplying it by the exponents of each term as shown below:

From this point simplify the exponents accordingly:

### Example Question #75 : Understanding Radicals

Rewrite the following radical as an exponent:

Explanation:

In order to rewrite a radical as an exponent, the number in the radical that indicates the root, gets written as a fractional exponent. Distribute the exponent to both terms by multiplying it by the exponents of each term as shown below:

From this point simplify the exponents accordingly:

### Example Question #76 : Understanding Radicals

Rewrite the following radical as an exponent:

Explanation:

In order to rewrite a radical as an exponent, the number in the radical that indicates the root, gets written as a fractional exponent. Distribute the exponent to both terms by multiplying it by the exponents of each term as shown below:

From this point simplify the exponents accordingly:

### Example Question #77 : Understanding Radicals

Evaluate:

Explanation:

In order to add the two terms, we must first find the values of each term in the expression.

Rewrite the fractional exponents as an expression of a square root.

### Example Question #78 : Understanding Radicals

Explanation:

Fractional exponents have the power as the numerator and the root as the denominator.

### Example Question #21 : Radicals As Exponents

Explanation:

Fractional exponents have the power as the numerator and the root as the denominator.

In this case, the power is 5, and the root is 3.

### Example Question #80 : Understanding Radicals

Solve:

Explanation:

The numbers with the fractional exponents can be rewritten as radicals.

Simplify both radicals.  The sixth root of 64 is two.

Solve: