What's 10 trillion to the 10th power?
Understand the Problem
The question is asking for the value of 10 trillion raised to the power of 10, which involves calculating a very large exponential number.
Answer
$10^{130}$
Answer for screen readers
$10^{130}$
Steps to Solve
- Express the base in scientific notation
The number 10 trillion can be expressed in scientific notation as $10^{13}$.
- Set up the exponentiation
Now we need to raise this expression to the power of 10: $$(10^{13})^{10}$$
- Apply the power rule of exponents
Using the power of a power property, we multiply the exponents: $$(10^{13})^{10} = 10^{13 \times 10} = 10^{130}$$
- Interpret the result
The final result is $10^{130}$, which means 1 followed by 130 zeros.
$10^{130}$
More Information
The number $10^{130}$ represents an extremely large number, specifically 1 followed by 130 zeros. This showcases how exponents can represent large quantities efficiently.
Tips
- A common mistake is to miscalculate the exponent multiplication. Always remember the rule: when raising a power to another power, you multiply the exponents.
- Another mistake is not converting large numbers into scientific notation initially, which can lead to confusion.
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