(25a2)1/2
To simplify the expression, we can multiply the numbers and perform the exponentiation:
(25a^2)^(1/2) = √(25a^2) = 5a
To solve the expression (25a^2)^(1/2), we can follow these steps:
Step 1: Simplify the expression inside the parentheses.
In this case, we have 25a^2.
Step 2: Apply the exponent outside the parentheses to each term inside.
Since the exponent is 1/2, or 1 divided by 2, we can take the square root of each term inside the parentheses.
For the term 25, the square root of 25 is 5.
For the term a^2, the square root of a^2 is a.
Step 3: Combine the simplified terms.
The simplified expression is 5a.
Therefore, (25a^2)^(1/2) simplifies to 5a.
To simplify the expression (25a^2)^(1/2), you can use the property of exponents which states that (a^m)^n = a^(m*n). In this case, the exponent outside the parenthesis is 1/2, so we can rewrite the expression as the square root of the quantity 25a^2.
Now, let's break it down further:
1. Take the square root of 25, which is 5.
2. Take the square root of a^2, which is a.
3. Combine these results to get the simplified expression: 5a.
Therefore, (25a^2)^(1/2) simplifies to 5a.