Question

Evaluate each expression.

$4^4$

Short answer

The value of the expression ${\mathbf{4}}^{\mathbf{4}}$is 256.

Step-by-step solution

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

1. Evaluate the expressions inside the bracket
2. Evaluate the powers
3. Multiply and/or divide
4. Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Evaluate all powers.

Use 4 as a factor 4 times.

$4^4=4\cdot 4\cdot 4\cdot 4$

Step 3. Multiply the values.

To further evaluate, multiply from left to right.

$4^4=256$

Therefore, the expression is equal to 256.