What is 10 trillion to the 10th power?
Understand the Problem
The question is asking for the value of 10 trillion raised to the 10th power, which involves exponentiation. We will calculate 10^13 raised to the power of 10.
Answer
$10^{130}$
Answer for screen readers
The value of $10^{13}$ raised to the 10th power is $10^{130}$.
Steps to Solve
- Identify the base and the exponent
We have the base as $10^{13}$ and we want to raise it to the power of 10.
- Use the power of a power property
When raising a power to another power, we multiply the exponents. So we apply the property: $$(a^m)^n = a^{m \cdot n}$$
Here, $a = 10$, $m = 13$, and $n = 10$.
- Calculate the new exponent
So we calculate: $$10^{13 \cdot 10} = 10^{130}$$
This means we have $10^{130}$ as our result.
The value of $10^{13}$ raised to the 10th power is $10^{130}$.
More Information
$10^{130}$ is a very large number. It represents 1 followed by 130 zeros. Such large numbers are often used in fields like astronomy, computing, and finance.
Tips
- A common mistake is forgetting to multiply the exponents when using the power of a power property. Always remember that $(a^m)^n$ simplifies to $a^{m \cdot n}$.
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