What is the value of 3^4?
Understand the Problem
The question is asking for the value of the expression $3^4$, which requires calculating the exponentiation of 3 raised to the power of 4. This means we multiply 3 by itself four times: 3 * 3 * 3 * 3.
Answer
$$ 81 $$
Answer for screen readers
The value of the expression $3^4$ is: $$ 81 $$
Steps to Solve
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Set Up the Expression We need to calculate the expression $3^4$. This means multiplying the base, which is 3, by itself 4 times.
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Perform the Multiplication Calculate the products step by step:
- First, multiply the first two 3's: $$ 3 \times 3 = 9 $$
- Next, multiply the result by the next 3: $$ 9 \times 3 = 27 $$
- Finally, multiply the last 3: $$ 27 \times 3 = 81 $$
- Conclusion Thus, the value of $3^4$ is: $$ 3^4 = 81 $$
The value of the expression $3^4$ is: $$ 81 $$
More Information
Exponentiation is a mathematical operation where a number is multiplied by itself a certain number of times. In this case, $3^4$ means multiplying 3 by itself four times, which yields the result of 81.
Tips
- A common mistake is to miscalculate the multiplication, particularly forgetting to multiply all the instances of 3. It's important to track each multiplication step carefully to avoid errors.
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