Which is equivalent to $(4+4^4)$?
A. $8$
B. $48$
C. 260

Calculate 4 4 , which equals 256.
Add 4 to the result: 4 + 256 = 260 .
Compare the final result with the given options.
The equivalent value is 260 ​ .

Explanation

Understanding the Problem We are asked to find the value of the expression 4 + 4 4 and determine which of the given options is equivalent to it. Let's start by evaluating the expression.

Calculating 4 to the power of 4 First, we need to calculate 4 4 . This means 4 × 4 × 4 × 4 . Let's calculate this step by step: 4 × 4 = 16 16 × 4 = 64 64 × 4 = 256 So, 4 4 = 256 .

Adding 4 to the result Now, we add 4 to the result: 4 + 4 4 = 4 + 256 = 260

Comparing with the options Finally, we compare our result with the given options: A) 8 B) 48 C) 260 Our calculated value is 260, which matches option C.


Examples
Understanding exponents and basic arithmetic is crucial in many real-world scenarios. For example, calculating compound interest involves exponents, where the initial investment grows over time. If you invest $1000 at an annual interest rate of 5%, compounded annually, the amount after 4 years would be 1000 × ( 1 + 0.05 ) 4 . Similarly, understanding exponential growth helps in analyzing population growth, spread of diseases, and other phenomena where quantities increase rapidly.

Answered by GinnyAnswer | 2025-07-05

The expression ( 4 + 4 4 ) equals 260 after calculating 4 4 to be 256 and adding 4. The correct answer is option C. 260.
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Answered by Anonymous | 2025-07-07