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Evaluate 5³¹²⁵
A) 5³¹²⁵
B) 3125⁵
C) 5⁵
D) 125²⁵

User QuantIbex
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1 Answer

4 votes

Final answer:

The correct evaluation of the expression 5³⁵ⁱ is option A. Other provided options change the base or exponent, resulting in different values which do not represent the original expression correctly.

Step-by-step explanation:

The student is asking to evaluate the expression 5³⁵ⁱ. In order to simplify this expression, we should recall that raising a number to a power is just that number multiplied by itself that many times. For example, 4³ is 4 multiplied by itself 3 times (4 x 4 x 4). Therefore, 5³⁵ⁱ remains as is, because we cannot simplify it further without actual calculation.

Furthermore, the concept of cubing of exponentials states that you cube the digit term and multiply the exponent by 3. However, this concept does not apply here because we have a single number (5) raised to a single power (3125) and not a base with an exponent raised to another exponent.

Evaluating the multiple choice options, we see that option A (5³⁵ⁱ) is the correct representation of the expression in the question. The other options do not accurately reflect the number 5 raised to the 3125th power.

User ShanieMoonlight
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