Q14. - Algebra 1

Question

Evaluate each expression.

${\left(\frac{1}{2}\right)}^{\mathbf{4}}$

Step-by-Step Solution

Answer

The required evaluated value is represented by $\frac{\mathbf{1}}{\mathbf{16}}$.

Step 1. Determine the exponent of provided expression as it will represent the count of its factors.

The provided expression contains $\frac{1}{2}$ as the base and 4 as its exponent.

Step 2. Use the obtained base and exponent to determine the required evaluated value.

For numerator, perform multiplication of 1 by itself 4 times and for denominator, perform multiplication of 2 by itself 4 times to get the required value.

$\frac{1^4}{2^4}=\frac{1}{16}$

Step 3. Write the conclusion.

The obtained value is in simplified form which means that $\frac{1}{16}$ is the required evaluated value.