Question
An expression is shown.
7 - 5 * 6 Superscript 4 + 10
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Part 1
What is the value of the expression?
enter your response here
7 - 5 * 6 Superscript 4 + 10
Question content area bottom
Part 1
What is the value of the expression?
enter your response here
Answers
GPT-4o mini
To evaluate the expression \( 7 - 5 \times 6^4 + 10 \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's break it down step by step:
1. **Calculate the exponent \( 6^4 \)**:
\[
6^4 = 6 \times 6 \times 6 \times 6 = 1296
\]
2. **Multiply by 5**:
\[
5 \times 1296 = 6480
\]
3. **Substitute back into the expression**:
\[
7 - 6480 + 10
\]
4. **Perform the subtraction and addition from left to right**:
\[
7 - 6480 = -6473
\]
\[
-6473 + 10 = -6463
\]
Thus, the value of the expression \( 7 - 5 \times 6^4 + 10 \) is \( -6463 \).
Let's break it down step by step:
1. **Calculate the exponent \( 6^4 \)**:
\[
6^4 = 6 \times 6 \times 6 \times 6 = 1296
\]
2. **Multiply by 5**:
\[
5 \times 1296 = 6480
\]
3. **Substitute back into the expression**:
\[
7 - 6480 + 10
\]
4. **Perform the subtraction and addition from left to right**:
\[
7 - 6480 = -6473
\]
\[
-6473 + 10 = -6463
\]
Thus, the value of the expression \( 7 - 5 \times 6^4 + 10 \) is \( -6463 \).