To solve the expression [tex]\(21 \times 10^{35}\)[/tex], we need to understand what scientific notation means. Scientific notation is a way of expressing very large or very small numbers in a compact form.
Here’s a step-by-step process of handling the given expression:
1. Start with the base number: In this case, the base number is 21.
2. Identify the exponent: The exponent here is 35, which indicates that we will multiply the base number by [tex]\(10\)[/tex] raised to the power of 35.
3. Break down the expression:
- [tex]\(10^{35}\)[/tex] means 10 multiplied by itself 35 times. This can be thought of as a 1 followed by 35 zeros.
4. Perform the multiplication:
- The base number (21) will need to be multiplied by this very large power of 10. Essentially, this means taking the number 21 and shifting its decimal place 35 places to the right.
5. Write the result:
- When you take 21 and shift the decimal point 35 places to the right, you append 35 zeros to the end of 21.
Thus, the numerical result of [tex]\(21 \times 10^{35}\)[/tex] is:
[tex]\[ \boxed{2100000000000000000000000000000000000} \][/tex]
