4×4×4×4
Understand the Problem
The question is asking for the calculation of 4 raised to the power of 4, which is the result of multiplying 4 by itself a total of four times.
Answer
$256$
Answer for screen readers
The answer is $256$.
Steps to Solve
-
Identify the exponentiation operation The operation involves raising the base (4) to the power of the exponent (4).
-
Expand the exponentiation This means multiplying 4 by itself for a total of four times. We can write this mathematically as: $$ 4^4 = 4 \times 4 \times 4 \times 4 $$
-
Multiply step-by-step Now, perform the multiplication step-by-step. First, multiply the first two 4s: $$ 4 \times 4 = 16 $$
-
Continue multiplying Now, take the result (16) and multiply it by the next 4: $$ 16 \times 4 = 64 $$
-
Final multiplication Finally, take the result (64) and multiply it by the last 4: $$ 64 \times 4 = 256 $$
The answer is $256$.
More Information
The calculation of $4^4$ shows the concept of exponentiation, where a number is repeated in multiplication. This can be used in various contexts, such as computing the area of a square with side length 4 or calculating combinations in probability.
Tips
- A common mistake is to overlook the multiplication process and quickly jump to an answer. Ensure to carry out each multiplication carefully.
- Misunderstanding how many times to multiply; remember that $n^m$ means multiplying $n$, $m$ times.
