Question

Find the equivalent exponential expression.

52,5
What is the equivalent exponential expression of (5 2)5

Answer 1

The equivalent exponential expression for (5^2)^5 is 5^10, which is obtained by multiplying the exponents, resulting in 5 raised to the power of 10.

Step-by-step explanation:

The equivalent exponential expression for (5^2)^5 is obtained by multiplying the exponents according to the laws of exponents. When you have a power raised to another power, you multiply the exponents. In this case, we have the base 5 raised to the 2nd power, and that result is raised to the 5th power. So, you would multiply the exponent 2 by the exponent 5.

To find the equivalent exponential expression of (5 ^ 2) ^ 5, we need to calculate the exponent by multiplying the exponents together. In this case, 2 * 5 = 10. So the equivalent exponential expression is 5 ^ 10.

Here is how you can write it out step-by-step:

1. Identify the base, which is 5, and the exponents, which are 2 and 5.
2. Multiply the exponents together: 2 * 5 = 10.
3. Write the result as the base raised to the product of the exponents: 5^10.

Therefore, the equivalent exponential expression for (5^2)^5 is 5^10.