Question
\( \begin{array}{ll}\text { 17. } 8(5)^{2}-7(3)^{3} & \text { 18. } 8-2(5-3)\end{array} \)
Ask by Peterson Coles. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
17. \( 11 \)
18. \( 4 \)
Solution
Sure, let's evaluate each expression step by step.
### 17. \( 8(5)^{2} - 7(3)^{3} \)
**Step 1: Calculate the exponents.**
\[
5^{2} = 25 \\
3^{3} = 27
\]
**Step 2: Multiply by the coefficients.**
\[
8 \times 25 = 200 \\
7 \times 27 = 189
\]
**Step 3: Subtract the results.**
\[
200 - 189 = 11
\]
**Answer:** \( 11 \)
---
### 18. \( 8 - 2(5 - 3) \)
**Step 1: Solve the expression inside the parentheses.**
\[
5 - 3 = 2
\]
**Step 2: Multiply by the coefficient outside the parentheses.**
\[
2 \times 2 = 4
\]
**Step 3: Subtract the result from the first term.**
\[
8 - 4 = 4
\]
**Answer:** \( 4 \)
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Simplify this solution Extra Insights
Let's break these mathematical expressions down a bit to have some fun with it! First up, for the expression \( 8(5)^{2}-7(3)^{3} \): We start by calculating \( 5^2 = 25 \) and \( 3^3 = 27 \). So, it becomes \( 8 \times 25 - 7 \times 27 \). That simplifies to \( 200 - 189 = 11 \). Voilà! Now, onto the second expression, \( 8 - 2(5-3) \): First, we compute \( (5 - 3) = 2 \). This leads to \( 8 - 2 \times 2 = 8 - 4 = 4 \). Easy peasy! So there you have it: The answers are 11 for the first and 4 for the second. Who said math couldn't be fun?
