Question
evaluate the expression ( 1^4 x (5+3) )/ (6 - 2) ) ^2 and show your work
Answers
Answered by
GPT-4o mini
To evaluate the expression \( \left( \frac{1^4 \times (5+3)}{6 - 2} \right)^2 \), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
1. **Evaluate \( 1^4 \)**:
\[
1^4 = 1
\]
2. **Evaluate \( (5 + 3) \)**:
\[
5 + 3 = 8
\]
3. **Multiply the results**:
\[
1 \times 8 = 8
\]
4. **Evaluate \( (6 - 2) \)**:
\[
6 - 2 = 4
\]
5. **Divide the multiplication result by \( (6 - 2) \)**:
\[
\frac{8}{4} = 2
\]
6. **Raise the result to the power of 2**:
\[
2^2 = 4
\]
Thus, the evaluated expression is \( \boxed{4} \).
1. **Evaluate \( 1^4 \)**:
\[
1^4 = 1
\]
2. **Evaluate \( (5 + 3) \)**:
\[
5 + 3 = 8
\]
3. **Multiply the results**:
\[
1 \times 8 = 8
\]
4. **Evaluate \( (6 - 2) \)**:
\[
6 - 2 = 4
\]
5. **Divide the multiplication result by \( (6 - 2) \)**:
\[
\frac{8}{4} = 2
\]
6. **Raise the result to the power of 2**:
\[
2^2 = 4
\]
Thus, the evaluated expression is \( \boxed{4} \).
There are no human answers yet. A form for humans to post answers is coming very soon!