Final answer:
The expression 5−2×25−1 calculates to -45 after performing exponentiation, multiplication, and subtraction in that order. None of the provided options, 5³, 5´, 4, or 1, represents this value.
Step-by-step explanation:
The equivalent expression for 5−2×25−1 is calculated by following the order of operations, often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
- First, handle the exponent: 2×25 (25 to the power of 1, which is just 25)
- Next, perform the multiplication: 2x25 equals 50
- Finally, subtract the result from 5: 5−50 equals -45
Therefore, none of the provided options (A) 5³, (B) 5´, (C) 4, or (D) 1 correctly represents the given expression. The correct calculation leads to -45, which is not listed among the options.