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Evaluating Expressions with Exponents

Consider 5^3 + 4^2
Part A: Evaluate the given expression.
Responses

A 160160

B 141141

C 133133

D 129129 Part B: Which expression is equivalent to ?
Responses

A 8 · 5

B 8 + 8 + 8 + 8 + 8

C 8 · 8 · 8 · 8 · 8

D 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5

1 answer

Part A: To evaluate the expression \(5^3 + 4^2\):

  1. Calculate \(5^3\): \[ 5^3 = 5 \times 5 \times 5 = 125 \]

  2. Calculate \(4^2\): \[ 4^2 = 4 \times 4 = 16 \]

  3. Add the results: \[ 125 + 16 = 141 \]

So, the answer for Part A is B: 141.

Part B: The expression you want to find an equivalent for is \(8\):

  1. \(8 \cdot 5\) (Response A) is not equal to 8.
  2. \(8 + 8 + 8 + 8 + 8\) (Response B) equals \(8 \times 5 = 40\) which is not equal to 8.
  3. \(8 \cdot 8 \cdot 8 \cdot 8 \cdot 8\) (Response C) equals \(8^5\) which is much larger than 8.
  4. \(5 + 5 + 5 + 5 + 5 + 5 + 5 + 5\) (Response D), which equals \(5 \times 8 = 40\) which is also not equal to 8.

It seems that you might need an expression equivalent to 8 itself. In this case, none of the provided options are equivalent to 8. If this question is intended to find an equivalence, we might need to reassess the options provided or clarify the expression you meant to evaluate.