5 Which expression is equivalent to the one below? *

A.
( B.
C.
D.

Ask by Reid O'Quinn. in the United States

Jan 24,2025

Question

5 Which expression is equivalent to the one below? * $$ 50+5^{3} $$ A. $$ 5^{2}+7 $$ ( B. $$ 3^{2} \cdot 11 $$ C. $$ 5^{2} \cdot 7 $$ D. $$ 3^{2}+11 $$

UpStudy AI · Accepted Answer

To determine which expression is equivalent to $$ 50 + 5^{3} $$, let's evaluate each option:

1. **Original Expression:**
   $$
   50 + 5^{3} = 50 + 125 = 175
   $$

2. **Option A: $$ 5^{2} + 7 $$**
   $$
   5^{2} + 7 = 25 + 7 = 32 \quad (\text{Not equal to } 175)
   $$

3. **Option B: $$ 3^{2} \cdot 11 $$**
   $$
   3^{2} \cdot 11 = 9 \cdot 11 = 99 \quad (\text{Not equal to } 175)
   $$

4. **Option C: $$ 5^{2} \cdot 7 $$**
   $$
   5^{2} \cdot 7 = 25 \cdot 7 = 175 \quad (\text{Equal to } 175)
   $$

5. **Option D: $$ 3^{2} + 11 $$**
   $$
   3^{2} + 11 = 9 + 11 = 20 \quad (\text{Not equal to } 175)
   $$

**Conclusion:** The expression equivalent to $$ 50 + 5^{3} $$ is:

**C. $$ 5^{2} \cdot 7 $$**
The equivalent expression is $$ 5^{2} \cdot 7 $$, which is option C.

5 Which expression is equivalent to the one below? *

A.
( B.
C.
D.

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