Evaluate 4 to the power of 3.
Understand the Problem
The question is asking to compute the result of 4 raised to the power of 3, which involves performing a basic exponentiation calculation.
Answer
$64$
Answer for screen readers
The final answer is $64$.
Steps to Solve
- Identify the Base and Exponent
In this problem, the base is 4 and the exponent is 3. This can be expressed as $4^3$.
- Apply the Exponentiation Rule
When we raise a number to a power, we multiply the base by itself as many times as indicated by the exponent. For $4^3$, this means:
$$ 4^3 = 4 \times 4 \times 4 $$
- Perform the Multiplication
Now, calculate $4 \times 4$ first:
$$ 4 \times 4 = 16 $$
Next, multiply the result by the base again:
$$ 16 \times 4 = 64 $$
- Conclude the Calculation
The final result of the exponentiation is:
$$ 4^3 = 64 $$
The final answer is $64$.
More Information
Exponentiation is a fundamental operation in mathematics, often used in various fields, including science and engineering. Raising numbers to powers is key in algebra and helps in solving equations efficiently.
Tips
- A common mistake is to misunderstand the base-exponent relationship, such as multiplying the exponent instead of multiplying the base the correct number of times.
- Another mistake could be forgetting to continue multiplying after the first step.
AI-generated content may contain errors. Please verify critical information
