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(5 to the power of 2) to the power of two
(5 to the power of 2) to the power of 2 is equal to 5 to the power of 4, or 625.
To calculate (5 to the power of 2) to the power of 2, we start by evaluating the exponentiation inside the parentheses first.
Step 1: Calculate 5 to the power of 2.
5^2 = 5 * 5 = 25
Now we can calculate the remaining exponentiation.
Step 2: Calculate 25 to the power of 2.
25^2 = 25 * 25 = 625
Therefore, (5 to the power of 2) to the power of 2 is equal to 625.
To solve (5 to the power of 2) to the power of 2, you need to follow the order of operations, which is known as the PEMDAS rule (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's break it down step by step:
Step 1: Calculate the value inside the parentheses.
5 to the power of 2 equals 25, so the expression becomes:
(25) to the power of 2.
Step 2: Evaluate the expression inside the second set of parentheses.
(25) to the power of 2 means multiplying 25 by itself.
25 multiplied by itself equals 625.
Therefore, the final answer is 625.