What is one trillion to the 10th power?
Understand the Problem
The question is asking for the result of calculating one trillion raised to the power of 10. This involves understanding exponential notation where a number is multiplied by itself a certain number of times.
Answer
$10^{120}$
Answer for screen readers
The result of one trillion raised to the power of 10 is $10^{120}$.
Steps to Solve
- Identify the base and exponent
In the expression, one trillion is the base ($1,000,000,000,000$) and the exponent is $10$. So, we need to calculate: $$1,000,000,000,000^{10}$$
- Convert to scientific notation
To simplify the calculations, convert one trillion into scientific notation: $$1,000,000,000,000 = 10^{12}$$
- Apply the exponent rule
Using the property of exponents, we have: $$(a^m)^n = a^{m \cdot n}$$
Thus, we can rewrite the expression: $$(10^{12})^{10} = 10^{12 \cdot 10} = 10^{120}$$
- Write the final answer in standard form
The number $10^{120}$ represents a $1$ followed by $120$ zeros.
The result of one trillion raised to the power of 10 is $10^{120}$.
More Information
This number, $10^{120}$, is extremely large, often used in fields like cosmology to describe quantities such as the number of atoms in the observable universe.
Tips
- Misplacing the exponent: Remember to apply the exponent correctly according to the rules of exponents.
- Incorrect conversion to scientific notation: Ensure to convert the base correctly before performing operations.
