2 × 2 × 2 × 3 × 5 × 5 in Index Form
In mathematics, index form is a way of expressing a number using indices or exponents. It is a shorthand method for writing repeated multiplication of a number by itself. In this article, we will explore how to express the given number in index form.
The Given Number
The given number is: 2 × 2 × 2 × 3 × 5 × 5
Breaking Down the Number
Let's break down the given number into its individual components:
- 2 × 2 × 2 = 2^3 (since 2 is multiplied by itself 3 times)
- 3 (no change, as it is not repeated)
- 5 × 5 = 5^2 (since 5 is multiplied by itself 2 times)
Expressing in Index Form
Now, let's combine the broken-down components to express the given number in index form:
2^3 × 3 × 5^2
Simplifying the Expression
The expression can be further simplified by rewriting it in a more compact form:
2^3 × 3 × 5^2 = 2^3 × 3 × 5^2
And that's it! We have successfully expressed the given number in index form.
Conclusion
In conclusion, the given number 2 × 2 × 2 × 3 × 5 × 5 can be expressed in index form as 2^3 × 3 × 5^2. This notation provides a concise way of representing repeated multiplication of a number by itself.
