5*5^2 in Index Form
In mathematics, index form is a way of expressing a number in a compact and simplified form using indices or exponents. In this article, we will explore how to express the equation 5*5^2 in index form.
What is Index Form?
Index form is a notation used to express a number as a base raised to a power. For example, the number 16 can be written in index form as 2^4, where 2 is the base and 4 is the index or exponent. Index form is used to simplify complex numbers and make calculations easier.
Evaluating 5*5^2
To evaluate the equation 5*5^2, we need to follow the order of operations (PEMDAS):
- Evaluate the exponentiation: 5^2 = 25
- Multiply 5 by the result: 5*25 = 125
So, 5*5^2 equals 125.
Expressing 125 in Index Form
To express 125 in index form, we need to find the base and exponent. Since 125 is a perfect cube (5^3), we can write it in index form as:
5^3
Therefore, 5*5^2 can be expressed in index form as 5^3.
Conclusion
In conclusion, we have evaluated the equation 5*5^2 and expressed it in index form as 5^3. Understanding index form is essential in mathematics, as it simplifies complex numbers and makes calculations easier.
